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Home » Business Development » Page 145

Business Development

Q: Task Preceding Task Time to perform (min.) A -- .69 B A .55 C B .92 D B .59 E B .70 F B 10 G C, D, E .75 H G, F .43 I H .29 (a) Draw a network diagram of precedence relationships. (b) Compute the required cycle time per unit in minutes. (c) Compute the theoretical minimum number of workstations required to produce 40 units per hour. (d) Balance this line using the longest processing time heuristic. (e) What is the efficiency of the line obtained in part d?

Q: A golf club should break down its annual cash budget into shorter time units because a. of the seasonality of its sales. b. one year is too far into the future to predict. c. the marketing plans may change during the year. d. production breakdowns may alter the companys situation.

Q: A firm should finance its growth in such a way as to maintain adequate a. liquidity. b. inventory. c. sales. d. volume.

Q: Station Task Time (minutes) Time left (minutes) Ready tasks (#followers) A(4),C(3) 1 A 4 17.1 C(3),B(3) C 1.5 15.6 B(3) B 3.2 12..4 D(2) D 2.8 9.6 E(1) 2 E 17.1 5.4 F(0) 3 F 12..8 9.7 Summary Statistics Cycle time 22.5 minutes Time allocated (cycle time * #) 67.5 minutes/cycle Time needed (sum of task times) 42.8 minutes/unit Idle time (allocated-needed) 24.7 minutes/cycle Efficiency (needed/allocated) 63.40741% Balance Delay (1-efficiency) 36.59259% Min (theoretical) # of stations 2 Key Term: Assembly-line balancing 46) A firm is planning to set up an assembly line to assemble 40 units per hour, and 57 minutes per hour are productive. The time to perform each task and the tasks that precede each task are contained in the following table.

Q: Task Preceding Task Time to perform (min.) A -- 40 B A 3.20 C -- 1.50 D B, C 2.80 E D 17.10 F E 12.80 (a) Draw the network diagram of the precedence relationships. (b) Identify the absolute minimum and maximum cycle times. (c) What is the cycle time required to meet demand? (d) What is the minimum number of workstations required to meet the schedule? (e) Balance this line using the most following tasks heuristic. (f) What is the efficiency of the line obtained in part (e)? (g) Can the efficiency of this solution be improved? Explain.

Q: Bettina plans to draw an income from her new business but her personal living expenses are not needed in the financial plan unless these expenses are part of the capitalization of the business. a. True b. False Indicate the answer choice that best completes the statement or answers the question.

Q: Station Task Time (hours) Time left (hours) Ready tasks (#followers) A(6),B(4) 1 A 4. B(4),C(4),D(2) C 2. 2. B(4),D(2) 2 B 6. 2. D(2),E(2),F(2) 3 D 6. 2. E(2),F(2) 4 E 3. 5. F(2) F 3. 2. G(1) 5 G 5. 3. H(0) H 1. 2. Summary Statistics Cycle time 8 hours Time allocated (cycle time * #) 40 hours/cycle Time needed (sum of task times) 30 hours/unit Idle time (allocated-needed) 10 hours/cycle Efficiency (needed/allocated) 75% Balance Delay (1-efficiency) 25% Min (theoretical) # of stations 4 (b) The cycle time is 160/20 = 8 hours; (c) This line requires at least 30/8 = 3.75 or 4 stations; (d) A and C are in Station 1; B is in Station 2; D is in Station 3; E and F occupy Station 4; and G and H are in Station 5. (e) Efficiency is 30/40 = .75 or 75 percent. Key Term: Assembly-line balancing 45) Hemo-tech, Inc., a biomedical technology and research laboratory, produces a standard blood filtering device on an assembly-line basis. Six basic tasks are performed along the assembly line. The time to perform each task and the tasks that must immediately precede each task are in the table below. Twenty pumps per 450-minute day must be produced by the assembly line.

Q: An entrepreneur should always project at least two scenarios for financial forecasting and budgeting: best case and worst case a. True b. False

Q: Mario has high hopes for his new business, anticipating a very large profit margin. For the preparation of his forecasts, he should use industry averages regardless of his hopes. a. True b. False

Q: Station Task Time (minutes) Time left (minutes) Ready tasks (#followers) A(4),B(4),D(1),E(2) 1 A 4 4.6 B(4),D(1),E(2) B 0.8 3.8 D(1),E(2),C(3) C 0.4 3.4 D(1),E(2),F(2) E 0.4 3. D(1),F(2) F 2.1 0.9 D(1),G(1) 2 D 1.8 4.2 G(1) G 2. 2.2 H(0) H 1.2 1. Summary Statistics Cycle time 6 minutes Time allocated (cycle time * #) 12 minutes/cycle Time needed(sum of task times) 10.1 minutes/unit Idle time (allocated-needed) 1.900001 minutes/cycle Efficiency (needed/allocated) 84.16666% Balance Delay (1-efficiency) 15.83334% Min (theoretical) # of stations 2 Key Term: Assembly-line balancing 44) A firm operates a flow shop building kitchen cabinetry for recreational vehicles. The major activities of this process are listed below. Task Duration (hours) Predecessor 1 Predecessor 2 Predecessor 4 A 4 -- B 6 -- C 2 A D 6 A E 3 B C F 3 B C G 5 D E F H 1 G a. Draw the appropriate network for this project. b. What would the cycle time be if the goal is to produce 20 units per month (the plant operates 160 hours per month)? c. What is the theoretical minimum number of workstations needed? d. Balance with the most following tasks heuristic. What tasks are assigned to which stations? e. What is the efficiency of the line obtained in part d? Answer:

Q: Profits reward an owner for investing in a company and constitute a primary source of financing for future growth. a. True b. False

Q: Task Predecessor(s) Duration (minutes) A -- 4 B -- 0.8 C A, B 0.4 D -- 1.8 E -- 0.4 F C 2.1 G E, F 2.0 H D, G 1.2 a. Draw the precedence diagram. b. Determine the desired cycle time. c. Determine the theoretical minimum number of stations needed. d. Balance this line using the most following tasks heuristic. e. What is the efficiency of the line obtained in part d?

Q: Cash flow can be projected in two ways: using the income statement to project cash flows or preparing a cash budget. a. True b. False

Q: Station Task Time (seconds) Time left (seconds) Ready tasks A,C,D 1 A 22. C,D,B D 22. 0. C,B 2 B 36. 36. C,E C 26. 10. E 3 E 70. 2. F 4 F 30. 42. Summary Statistics Cycle time 72 seconds Time allocated (cycle time * #) 288 seconds/cycle Time needed (sum of task times) 234 seconds/unit Idle time (allocated-needed) 54 seconds/cycle Efficiency (needed/allocated) 81.25% Balance Delay (1-efficiency) 18.75% Min (theoretical) # of stations 4 Key Term: Assembly-line balancing 43) You have been asked to balance a flow shop assembly operation to achieve an output rate of 80 units per eight-hour day. Task times and precedence relationships are shown in the table below.

Q: To be realistic, an entrepreneur should project profits only one year into the future. a. True b. False

Q: Task Description Predecessor(s) Time (min.) A Place circuit into circuit frame -- 50 B Solder circuit connections to central circuit control A 0.70 C Place circuit assembly in device frame B 0.40 D Attach circuit assembly to device frame C 0.30 E Place and attach display to frame -- 0.30 F Place and attach keypad to frame -- 0.20 G Place and attach top body of device to frame E, F 0.35 H Place and attach battery holder to frame D 0.40 I Place and attach bottom body of device to frame G, H 0.60 J Test device I 0.30 a. Draw the precedence diagram for this problem. b. What is the sum of the task times? c. What cycle time will allow the production of 200 units over a ten-hour day? d. What is the theoretical number of workstations needed? e. Balance this assembly line using the heuristic most following tasks and the heuristic longest operation time. f. How do these two solutions differ? Which do you prefer; why? Answer: The sum of the task times is 4.05 minutes. The cycle time for 200 units output is 600/200 = 3 minutes. The theoretical minimum number of stations is 4.05/3 = 1.35 or 2. Both solutions use two stations and have 67.5% efficiency--no preference. Most Following Tasks Station 1: A, B, C, E, F, D, G; idle time = 0.25 Station 2: H, I, J; idle time = 1.70 Longest Operation Time Station 1: A, B, C, E, D, H, F; idle time = 0.20 Station 2: G, I, J; idle time = 1.75 Key Term: Assembly-line balancing 42) A company is designing a product layout for a new product. It plans to use this production line eight hours a day in order to meet a schedule of 400 units per day. The tasks necessary to produce this product are detailed in the table below. Task Predecessor Time (seconds) A - 50 B A 36 C - 26 D - 22 E B, D 70 F C, E 30 a. Draw the network described in the table. b. Without regard to a production schedule, what is the minimum possible cycle time (in seconds) for this situation; what is the maximum? c. What is the required cycle time (in seconds) in order to meet the schedule? d. What is the theoretical minimum number of workstations needed to meet the schedule? e. Balance this line using longest processing time. f. What is the efficiency of the balance obtained in part e? Answer: The network diagram appears below. Minimum cycle time is 70 seconds (the longest task time); maximum cycle time is 234 seconds (sum of the task times). Required cycle time is 480/400 = 1.2 minutes or 72 seconds (which is barely feasible). The theoretical minimum number of stations required is at least 234/72 = 3.25 or 4.

Q: The cost of goods sold are always fixed. a. True b. False

Q: Station Task Assigned Task Time (minutes) 1 1 0 2 3; 4 1.5; 2.0 3 2; 5; 6 1.5; 1.5; 1.0 4 7 3.0 5 8 2.5 6 9; 10; 11 2.0; 1.0; 1.0 a. What is the assigned cycle time (in minutes)? b. What is the maximum output rate of this line in mixers per hour? c. What is the total idle time per cycle? d. What is the assembly line's efficiency? Answer: Cycle time is 4.0 minutes (governed by stations 3 and 6). Maximum output is 60/4 = 15.0 units per hour. Idle time is 1.0 + 0.5 + 0.0 + 1.0 + 1.5 + 0 = 4.0 minutes. Efficiency is 20.0/24.0 = 83.3%. Key Term: Assembly-line balancing 40) Cyclone Appliances has developed a new European-style convection oven that will be made on an assembly line. The schedule requires 80 ovens in an 8-hour day. The assembly includes seven tasks. The table below indicates the performance time and the sequence requirements for each task. Task Performance Time (minutes) Task must follow Task listed below A 1 B 2 A C 3 B D 2 B E 4 C, D F 1 E G 2 F (a) What is the cycle time for this assembly operation? (b) What is the theoretical minimum number of workstations? (c) Draw the precedence diagram. Answer: (a) The cycle time is 480 minutes per day/80 ovens = 6 minutes/oven. (b) The theoretical minimum number of workstations is the sum of all task times, 15 minutes, divided by the cycle time, 6 minutes; 15/6 = 2.5 or 3 workstations. (c) The precedence diagram appears below.

Q: Marcia like to use other peoples money when financing her business. In this way she does more with less by controlling resources without actually owning them. a. True b. False

Q: Station Task Time (seconds) Time left (seconds) Ready tasks A,D 1 A 230. D,B,F F 100. 130. D,B D 60. 70. B B 60. 10. C 2 C 120. 180. E 3 E 240. 60. G 4 G 190. 110. Summary Statistics Cycle time 300 seconds Time allocated (cycle time * #) 1200 seconds/cycle Time needed (sum of task times) 840 seconds/unit Idle time (allocated-needed) 360 seconds/cycle Efficiency (needed/allocated) 70% Balance Delay (1-efficiency) 30% Min (theoretical) # of stations 3 Key Term: Assembly-line balancing 39) An assembly line has been designed to make battery-powered beverage mixers. Task details are shown in the table below:

Q: Profits that are retained within the company rather than being distributed to the owners are referred to as retained income. a. True b. False

Q: Convey the mission of the store by carefully selecting the position of the lead-off department. Key Term: Retail layout 17) Briefly explain what "slotting" is. What ethical issues might arise with regard to slotting? Answer: Slotting is the practice of manufacturers paying for retail shelf space. Many small firms question the legality and ethics of slotting fees, claiming the fees stifle new products, limit their ability to expand, and cost consumers money. Key Term: Slotting fees 18) What is a servicescape? How is it related to the retail layout problem? What are the three elements of servicescape for dealing with these human issues? Answer: Servicescape describes the physical surroundings in which a service takes place, and how they affect customers and employees. Rather than design a retail space strictly for profitability, managers must consider how the surroundingsthe layouthave a humanistic effect on customers and employees. The three elements are ambient conditions; spatial layout and functionality; and signs, symbols, and artifacts. Key Term: Servicescape Section 5 Warehouse and Storage Layouts 1) Cross-docking processes items as they are received, rather than placing them in storage. Answer: TRUE Key Term: Cross-docking 2) Balancing low-cost storage with low-cost material handling is important in which of the following? A) fixed-position layout B) process-oriented layout C) office layout D) repetitive and product-oriented layout E) warehouse layout Answer: E Key Term: Warehouse layout 3) Which of the following reduces product handling, inventory, and facility costs, but requires both (1) tight scheduling and (2) accurate inbound product information? A) phantom-docking B) random stocking C) ASRS D) customizing E) cross-docking Answer: E Key Term: Cross-docking 4) The major problem addressed by the warehouse layout strategy is: A) minimizing difficulties caused by material flow varying with each product. B) requiring frequent close contact between forklift drivers and item pickers. C) addressing trade-offs between space and material handling. D) balancing product flow from one work station to the next. E) locating the docks near a convenient access point to the closest highway. Answer: C Key Term: Warehouse layout 5) The concept of customizing in a warehouse layout: A) is possible, but it causes serious loss of oversight of the quality function. B) cannot be considered seriously in today's high efficiency factories. C) is theoretically sound, but several years away in practice. D) incorporates value-added activities in warehouses. E) locates stock wherever there is an open location. Answer: D Key Term: Customizing 6) ASRS stands for which of the following? A) automated storage and retrieval system B) automated storage and recovery system C) automated scan and recognize system D) automated scan and retail system E) automated scan and retrieval system Answer: A 7) Which of the following is TRUE of random stocking? A) Because items are stocked randomly, accurate inventory records are not necessary. B) Its results always minimize handling costs. C) Products have their own permanent storage spot. D) Each pick can be of only one product. E) None of the above is true. Answer: E Key Term: Random stocking 8) Cross-docking means which of the following? A) Avoid placing materials or supplies in storage by processing them as they are received. B) The same docks can be used either incoming or outbound shipments. C) The same dock is used to unload and then reload the same truck. D) Warehouse docks are designed in the shape of a cross. E) Docks are placed in the warehouse according to the direction (north, south, east, or west) from which the truck is arriving. Answer: A Key Term: Cross-docking 9) ________ avoids placing materials or supplies in storage by processing them as they are received for shipment. Answer: Cross-docking Key Term: Cross-docking 10) What is cross-docking? What are some of its benefits for manufacturing facilities, distribution centers, and retailers such as Walmart? Answer: Cross-docking avoids placing materials or supplies in storage by processing them as they are received. In a manufacturing facility, product is received directly by the assembly line. In a distribution center, labeled and presorted loads arrive at the shipping dock for immediate rerouting, thereby avoiding formal receiving, stocking/storing, and order-selection activities. Because these activities add no value to the product, their elimination is 100% cost savings. For retailers such as Walmart, cross-docking reduces distribution costs and speeds restocking of stores, thereby improving customer service. Key Term: Cross-docking Section 6 Fixed-Position Layout 1) The dominant problem associated with the fixed-position layout is that workers are fixed in position, and they cannot be reassigned. Answer: FALSE Key Term: Fixed-position layout 2) The fixed-position layout would be MOST appropriate in which of the following settings? A) a fast-food restaurant B) a doctor's office C) a casual dining restaurant D) a cruise ship assembly facility E) a washing machine assembly line Answer: D Key Term: Fixed-position layout 3) For which of the following operations would a fixed-position layout be MOST appropriate? A) assembling automobiles B) producing TV sets C) constructing a highway tunnel D) refining of crude oil E) running an insurance agency Answer: C Key Term: Fixed-position layout 4) Because problems with fixed-position layouts are so difficult to solve well onsite, operations managers: A) virtually never employ this layout strategy. B) utilize this approach only for construction projects such as bridges and office towers. C) increase the size of the site. D) often complete as much of the project as possible offsite. E) utilize this layout only for defense contractors. Answer: D Key Term: Fixed-position layout 5) Which of the following is NOT one of the factors complicating the techniques for addressing the fixed-position layout? A) The volume of materials needed is dynamic. B) At different stages of a project, different materials are needed; therefore, different items become critical as the project develops. C) Takt times at workstations are dynamic. D) There is limited space at virtually all sites. E) All of the above are complicating factors. Answer: C Key Term: Fixed-position layout 6) The project remains in one place and workers and equipment come to that one work area in a(n) ________ layout. Answer: fixed-position Key Term: Fixed-position layout 7) The techniques for addressing the fixed-position layout are complicated by what three factors? What is an alternative strategy to address these? Answer: (1) There is limited space at virtually all sites. (2) At different stages of a project, different materials are needed; therefore, different items become critical as the project develops. (3) The volume of materials needed is dynamic. An alternative strategy is to complete as much of the project as possible offsite. Key Term: Fixed-position layout Section 7 Process-Oriented Layout 1) A process-oriented layout is the traditional way to support a product differentiation strategy. Answer: TRUE Key Term: Process-oriented layout 2) Job lots are groups or batches of parts processed together. Answer: TRUE Key Term: Job lots 3) Process-oriented layouts typically have low levels of work-in-process inventory. Answer: FALSE Key Term: Process-oriented layout 4) The most common tactic to arrange departments in a process-oriented layout is to minimize material handling costs. Answer: TRUE Key Term: Process-oriented layout 5) Which type of layout features departments or other functional groupings in which similar activities are performed? A) process-oriented B) product-oriented C) fixed-position D) mass production E) unit production Answer: A Key Term: Process-oriented layout 6) One of the major advantages of process-oriented layouts is: A) high equipment utilization. B) large work-in-process inventories. C) flexibility in equipment and labor assignment. D) smooth and continuous flow of work. E) small work-in-process inventories. Answer: C Key Term: Process-oriented layout 7) The main issue in designing process-oriented layouts concerns the relative positioning of: A) safety devices. B) departments or work centers. C) raw materials. D) entrances, loading docks, etc. E) supervisors to their employees. Answer: B Key Term: Process-oriented layout 8) Which of the following is NOT an information requirement for solving a load-distance problem to design a process layout? A) a list of departments or work centers B) a projection of work flows between the work centers C) the distance between locations D) a list of product cycle times E) the cost per unit of distance to move loads Answer: D Key Term: Process-oriented layout 9) The major problem addressed by the process-oriented layout strategy is: A) the movement of material to the limited storage areas around the site. B) how to design a continuous flow process. C) the provision of low-cost storage with low-cost material handling. D) minimizing difficulties caused by material flow varying with each product. E) balancing product flow from one work station to the next. Answer: D Key Term: Process-oriented layout 10) The most common tactic followed in process-layout planning is to arrange departments or work centers so they: A) minimize the cost of skilled labor. B) maximize the machine utilization. C) are equally allocated within the available space. D) minimize the costs of material handling. E) produce a perfectly balanced assembly line. Answer: D Key Term: Process-oriented layout 11) A big advantage of a process-oriented layout is: A) its flexibility in equipment and labor assignments. B) its low cost. C) the simplified scheduling problem presented by this layout strategy. D) the ability to employ low-skilled labor. E) its high equipment utilization. Answer: A Key Term: Process-oriented layout 12) The disadvantages of process-oriented layout come from: A) the use of special purpose equipment. B) machine maintenance, which tends to seriously degrade the capacity of the entire system. C) the use of specialized material handling equipment. D) the need for stable demand. E) the flexibility of general-purpose equipment. Answer: E Key Term: Process-oriented layout 13) The typical goal used when developing a process-oriented layout strategy is to: A) minimize the distance between adjacent departments. B) minimize the material handling costs. C) maximize the number of different tasks that can be performed by an individual machine. D) minimize the level of operator skill necessary. E) maximize job specialization. Answer: B Key Term: Process-oriented layout 14) A process layout problem consists of 4 departments, each of which can be assigned to one of four rooms. The number of different solutions to this problem is ________, although all of them may not have different material handling costs. A) 1 B) 4 C) 16 D) 24 E) unknown Answer: D Key Term: Process-oriented layout 15) Solving a load-distance problem for a process-oriented layout requires that: A) the difficulty of movement be the same for all possible paths. B) pickup and setdown costs vary from department to department. C) the cost to move a load be the same for all possible paths. D) takt time be less than 1. E) Proplanner software examines all possible department configurations. Answer: A Key Term: Process-oriented layout 16) ________ layouts deal with low-volume, high-variety production with like machines and equipment grouped together. Answer: Process-oriented Key Term: Process-oriented layout 17) Explain how a load-distance model helps solve problems in process layout. Answer: The problem in process layout is to arrange departments or work centers so as to minimize the costs of material handling. The load-distance model calculates the amount shipped multiplied by the cost per load of these movements from department to department, and so it can find that set of departmental space assignments that minimizes the aggregate material handling cost. Key Term: Process-oriented layout 18) Departments A, B, C, and D need to be assigned to four rooms 1, 2, 3, and 4. These rooms are arranged in a row, in that order, with 20 meters between each. The departmental work flows are contained in the table below. (a) What is the material handling total of assigning A-1, B-2, C-3, D-4? (b) What is the material handling total of assigning A-1, B-3, C-4, D-2? Flow Matrix Dept. A Dept. B Dept. C Dept. D Dept. A 0 30 5 20 Dept. B 5 0 40 20 Dept. C 0 10 0 40 Dept. D 10 5 0 0 Answer: (a) The material handling total of A-1, B-2, C-3, D-4 is 5500. Details: 1-2 (A-B): 20 30 + 20 5 = 700; 1-3 (A-C): 40 5 + 400 = 200; 1-4 (A-D): 60 20 + 6010 = 1800; 2-3 (B-C): 20 40 + 20 10 = 1000; 2-4 (B-D): 40 20 + 40 5 = 1000; and 3-4 (C-D): 20 40 + 20 0 = 800. The sum of these six elements is 5500. (b) The material handling total of A-1, B-3, C-4, D-2 is 5400 (which is also the optimal solution). Details: 1-2 (A-D): 20 20 + 20 10 = 600; 1-3 (A-B): 40 30 + 40 5 = 1400; 1-4 (A-C): 60 5 + 60 0 = 300; 2-3 (B-D): 20 20 + 20 5 = 500; 2-4 (C-D):40 40 + 40 0 = 1600; and 3-4 (B-C): 20 40 + 20 10 = 1000. These six elements sum to 5400. Key Term: Process-oriented layout 19) There are three work centers (A, B, and C) behind the financial aid counter at a nearby university. They can each fit into any of three office spaces (1, 2, and 3) off the corridor behind the desk. There is no student contact in these areas, only workers. The distance 1-2 is 20 feet, 2-3 is 30 feet, and 1-3 is 50 feet. The matrix of work (trips per day) at the three centers are shown in the following table. Remember that each trip must be a round-trip (from 1 to 2 and back, for example). A B C A -- 20 0 B 45 -- 25 C 60 0 -- (a) How many possible assignments are there? List them. (b) Calculate the total distance traveled in each of these assignments. (c) Which assignment minimizes distance traveled? Answer: (a) There are 3! = 6 assignments, listed in the table below. (b) The cost, in feet, of each assignment appears in the table below. (c) The lowest cost assignment is A-2, B-1, C-3. A B C Cost 1 2 3 10,100 1 3 2 10,400 2 1 3 8,700 2 3 1 8,800 3 1 2 11,100 3 2 1 10,900 Key Term: Process-oriented layout 20) An insurance claims processing center has six work centers, any of which can be placed into any of six physical departmental locations. Call the centers 1, 2, 3, 4, 5, and 6, and the departments A, B, C, D, E, and F. The current set of assignments is A-3, B-1, C-6, D-2, E-4, and F-5. The (symmetric) matrix of departmental distances, in meters is shown below. 1 2 3 4 5 6 1 -- 5 30 20 15 20 2 -- 40 15 10 10 3 -- 50 20 5 4 -- 10 35 5 -- 5 6 -- The matrix of work flow (estimated trips per day) is among centers is shown below. A B C D E F A -- 15 20 0 30 0 B 20 -- 50 0 160 10 C 0 50 -- 30 0 30 D 30 60 20 -- 70 0 E 40 0 0 10 -- 60 F 0 0 30 20 50 -- The firm estimates that each trip costs approximately $4. What is the cost of the current assignment? Answer: Load-distance = AB: 30(35) + AC: 5(20) + AD: 40(30) + AE: 50(70) + AF: 20(0) + BC: 20(100) + BD: 5(60) + BE: 20(160) + BF: 15(10) + CD: 10(50) + CE: 35(0) + CF: 5(60) + DE: 15(80) + DF: 10(20) + EF: 10(110) = 1050 + 100 + 1200 + 3500 + 0 + 2000 + 300 + 3200 + 150 + 500 + 0 + 300 + 1200 + 200 + 1100 = 14,800 meters. The current assignment costs: 14,800($4) =$59,200. Key Term: Process-oriented layout 21) An airport is trying to balance where to place the three subgroups (local (A), regional (B), and national (C)) for an airline. The distance between terminals and the number of trips that travelers make between subgroups for flight connections per day are listed. Find the assignment that minimizes the distance travelers must walk. Airline A B C Trips to A - 60 80 Trips to B 50 - 120 Trips to C 100 75 - Terminal 1 2 3 Distance to Terminal 1 - 4000 5000 Distance to Terminal 2 4000 - 6000 Distance to Terminal 3 5000 6000 - Answer: There are 6 possible assignments and the distance traveled for each scenario is 110(Distance A-B) + 195(Distance C-B) + 180(Distance A-C) = total distance. A(1)-B(2)-C(3) = 110(4000) + 195(6000) + 180(5000) = 2510K A(1)-B(3)-C(2) = 110(5000) + 195(6000) + 180(4000) = 2440K A(2)-B(1)-C(3) = 110(4000) + 195(5000) + 180(6000) = 2495K A(2)-B(3)-C(1) = 110(6000) + 195(5000) + 180(4000) = 2355K A(3)-B(2)-C(1) = 110(6000) + 195(4000) + 180(5000) = 2340K A(3)-B(1)-C(2) = 110(5000) + 195(4000) + 180(6000) = 2410K Subgroup A should be assigned terminal 3, subgroup B to terminal 2, and subgroup C to terminal 1 to minimize the distance travelers must go. Key Term: Process-oriented layout Section 8 Work Cells 1) The work cell layout, a special arrangement of machinery and personnel to focus on the production of a single product or group of related products, is for manufacturing applications and has no relevance to services. Answer: FALSE Key Term: Work cell 2) The work cell improves layouts by reducing both floor space and direct labor cost. Answer: TRUE Key Term: Work cell 3) A focused work center is well suited to the production of a large family of products requiring similar processing, even if their demands are not very stable. Answer: FALSE Key Term: Focused work center 4) Which of the following is NOT an advantage of work cells? A) reduced direct labor cost B) decreased equipment and machinery utilization C) heightened sense of employee participation D) reduced raw material and finished goods inventory E) reduced investment in machinery and equipment Answer: B Key Term: Work cell 5) Balancing a work cell is done: A) before the work cell equipment is sequenced. B) as part of the process of building an efficient work cell. C) before takt time is calculated. D) so that each assembly line workstation has exactly the same amount of work. E) to minimize the total movement in a process layout. Answer: B Key Term: Work cell 6) Mathematically, takt time is: A) total work time available divided by units required. B) units required divided by workers required. C) a fictional time increment similar to a therblig. D) workers required divided by total operation time required. E) units required divided by total work time available. Answer: A Key Term: Takt time 7) Which of the following is NOT one of the requirements of cellular production? A) testing (poka-yoke) at each station in the cell B) adequate volume for high equipment utilization C) a high level of training, flexibility, and empowerment of employees D) being self-contained, with its own equipment and resources E) identification of families of products, often through the use of group technology codes or equivalents Answer: B Key Term: Work cell 8) A(n) ________ is a special product-oriented arrangement of machines and personnel in what is ordinarily a process-oriented facility. Answer: work cell Key Term: Work cell 9) ________ is the pace (frequency) of production necessary (time per unit) to meet customer orders. Answer: Takt time Key Term: Takt time 10) "Having a focused work center is like having a plant within a plant." Discuss. Include in your discussion what conditions make focused work centers appropriate. Answer: A focused work center is a permanent or semi-permanent product-oriented arrangement of machines and personnel. It moves production to a large work cell that remains part of the present facility. A focused work center may be appropriate when a firm has identified a family of similar products that have a large and stable demand. Key Term: Focused work center 11) Why do work cells increase the utilization of equipment and machinery? Answer: Work cells increase the utilization of equipment and machinery because of better scheduling and faster material flow. Key Term: Work cell 12) What are the advantages of focused factories? Answer: Focused factories are better able to stay in tune with their customers, produce quality products, and operate at higher margins. Key Term: Focused factory 13) Identify the four requirements for cellular production. Answer: (1) identification of families of products, often through the use of group technology codes or equivalents; (2) a high level of training, flexibility, and empowerment of employees; (3) being self-contained, with its own equipment and resources; (4) testing (poka-yoke) at each station in the cell Key Term: Work cell 14) A work cell is required to make 200 computerized diagnostic assemblies (for installation into hybrid automobiles) each day. The cell currently works an eight hour shift, of which seven hours is available for productive work. What is takt time for this cell? Answer: Takt time = 420 minutes / 200 units required = 2.1 minutes Key Term: Takt time 15) A work cell is scheduled to build 120 digital light processor (DLP) assemblies each week. These assemblies are later installed into home theater projection systems. The work cell has 7.5 hours of productive work each day, six days per week. What is takt time for this cell? Answer: The cell has 7.5 6 = 45 hours (or 2700 minutes) of work time each week. Takt time = 2700 / 120 = 22.5 minutes. Key Term: Takt time 16) A work cell is required to make 80 computerized diagnostic assemblies (for installation into hybrid automobiles) each day. The cell currently works an eight hour shift, of which seven hours are available for productive work. These assemblies require five operations, with times of 1.0, 1.8, 2.4, 2.5, and 1.4 minutes each. (a) What is takt time for this cell? (b) How many workers will be needed? Answer: (a) Takt time = 420 minutes / 80 units = 5.25 minutes. (b) Total operation time is 1.0 + 1.8 + 2.4 + 2.5 + 1.4 = 9.1 minutes. Workers required = 9.1 / 5.25 = 1.73 or 2. Key Term: Takt time 17) A work cell is required to make 140 computerized diagnostic assemblies (for installation into hybrid automobiles) each day. The cell currently works an eight hour shift, of which seven hours is available for productive work. These assemblies require five operations. Standard times for these operations are: Operation A, 3.0 minutes, B, 1.8 minutes, C, 2.4 minutes, D, 2.5 minutes, and E, 1.4 minutes. (a) What is takt time for this cell? (b) How many workers will be needed to achieve this schedule? Answer: (a) Takt time = 420 / 140 = 3 minutes/unit. (b) Total operation time = 3.0 + 1.8 + 2.4 + 2.5 + 1.4 = 11.1 minutes. A minimum of four workers are required (11.1 / 3 = 3.7). Key Term: Takt time 18) Brandon's computer shop has hired a consultant to help apply operations management techniques to increase profits. Currently the shop sells most of its computers to a high-end customized online retailer and sales are steady at 250 per month. A single work cell produces the computers. To produce the computer, three operations are required. First the parts must be assembled, next software must be installed, and finally the computer must be safely packed and labeled for shipping. These operations take 2 hours, 5 hours, and 1 hour respectively. If there are 6 available work hours each day and the shop operates 20 days per month find: (a) the takt time, and (b) the number of workers Brandon should hire. Answer: (a) Takt time = (6 hours/day * 20 days/month)/(250 units/month) = .48 hours per computer (or 28.8 minutes) (b) Total operation time = 2+5+1 = 8 hours. Workers required = operation time / takt time = 8/.48 = 16.67 = 17 workers required Key Term: Takt time 19) A manufacturing work cell has a takt time of 7 minutes. Exactly 10 workers are required. Suppose that the work cell delivers 68 units each day. (a) What is the total operation time? (b) What is the amount of time worked during the day for all 10 workers combined? (c) If the plant is open for only 8 hours per day, can the staff meet demand? Answer: (a) Total operation time = Workers required takt time = 10(7 minutes) = 70 minutes (b) Time worked = Takt time Units Delivered # workers = 7 minutes (68) 10 =4760 minutes = 79.33 hours (c) 10 workers 8 hours/day = 80 hours per day are available. From (b), only 79.33 are required, so the workers can meet demand. Key Term: Takt time Section 9 Repetitive and Product-Oriented Layout 1) A fabrication line and an assembly line are both types of repetitive and product-focused layout, but only the fabrication line utilizes workstations. Answer: FALSE 2) The biggest advantage of a product layout is its flexibility to handle a varied product mix. Answer: FALSE 3) The minimum number of workstations depends upon the set of task times and the precedence chart, but not the number of units scheduled. Answer: FALSE Key Term: Cycle time 4) A product requires 24 separate tasks, and the sum of those task times is 14 minutes. If the cycle time is 2 minutes, then at least 12 workstations will be needed. Answer: FALSE Key Term: Cycle time 5) If the schedule calls for the production of 120 units per day and 480 minutes of production time are available per day, the cycle time would be 4 minutes. Answer: TRUE Key Term: Cycle time 6) Product-oriented layouts tend to have high levels of work-in-process inventories. Answer: FALSE 7) One drawback of a product-oriented layout is that work stoppage at any one point ties up the whole operation. Answer: TRUE 8) Cycle time is the maximum time that the product is allowed at each workstation. Answer: TRUE Key Term: Cycle time 9) Heuristics are problem-solving procedures that mathematically optimize the solution. Answer: FALSE Key Term: Heuristic 10) Which one of the following is NOT common to repetitive and product-oriented layouts? A) a high rate of output B) specialized equipment C) ability to adjust to changes in demand D) low unit costs E) standardized products Answer: C 11) A product-oriented layout would be MOST appropriate for which one of the following businesses? A) fast food B) steel making C) insurance sales D) clothing alterations E) a grocery store Answer: B 12) The assumptions necessary for a successful product-oriented layout include all EXCEPT which of the following? A) adequate volume for high equipment utilization B) standardized product C) volatile product demand D) adequately standardized supplies of raw materials and components E) All of the above are appropriate assumptions. Answer: C 13) Which of the following is TRUE regarding fabrication lines? A) They are the same thing as assembly lines. B) They are the same thing as focused factories. C) They are a special type of process-oriented layout. D) They are usually machine-paced as opposed to worker-paced. E) They require completely different line balancing techniques than do assembly lines. Answer: D Key Term: Fabrication line 14) The central problem in product-oriented layout planning is: A) minimizing material handling within workstations. B) minimizing labor movement between workstations. C) equalizing the space allocated to the different workstations. D) maximizing equipment utilization. E) minimizing the imbalance in the workloads among workstations. Answer: E Key Term: Assembly-line balancing 15) Which of the following is a disadvantage of product-oriented layout? A) There is a lack of flexibility necessary for handling a variety of products. B) High volume is required because of the large investment needed to establish the process. C) Work stoppage at any one point can tie up the whole operation. D) There is a lack of flexibility necessary for handling a variety of production rates. E) All of the above are disadvantages of product-oriented layouts. Answer: E 16) Which of the following is one of the main advantages of a product-oriented layout? A) high customer exposure rates B) employability of highly skilled labor C) high flexibility D) low capital cost E) low variable cost per unit Answer: E 17) In a product-oriented layout, what is the process of deciding how to assign tasks to workstations? A) station balancing B) process balancing C) task allocation D) assembly-line balancing E) work allocation Answer: D Key Term: Assembly-line balancing 18) In assembly-line balancing, the theoretical minimum number of workstations is: A) the ratio of the sum of all task times to cycle time. B) always (when a fraction) rounded upward to the next larger integer value. C) not always possible to reach when tasks are actually assigned to stations. D) all of the above. E) none of the above. Answer: D Key Term: Assembly-line balancing 19) In assembly-line balancing, cycle time (the ratio of available production time to scheduled production) is the: A) minimum time that a product is allowed at each workstation. B) maximum time that a product is allowed at each workstation. C) inverse of the minimum number of workstations needed. D) sum of all the task times divided by the maximum number of workstations. E) equivalent of the maximum task time among all tasks. Answer: B Key Term: Cycle time 20) A production line is to be designed to make 500 El-More dolls per day. Each doll requires 11 activities totaling 16 minutes of work. The factory operates 750 minutes per day. What is the required cycle time for this assembly line? A) 0.5 minutes B) 1.5 minutes C) 2 minutes D) 5,500 minutes E) 4.26 minutes Answer: B Key Term: Cycle time 21) A production line is to be designed for a job with four tasks. The task times are 2.4 minutes, 1.4 minutes, 0.9 minutes, and 1.7 minutes. After line balancing, the largest possible assigned cycle time is ________ minutes, and the smallest possible assigned cycle time is ________ minutes. A) 1.8; 1.4 B) 1.6; 0.9 C) 6.4; 2.4 D) 2.4; 0.9 E) 6.4; 0.9 Answer: C Key Term: Cycle time 22) Cycle time is computed as: A) desired output divided by the daily operating time. B) daily operating time divided by the product of desired output and the sum of job times. C) the product of desired output and the sum of job times divided by daily operating time. D) daily operating time divided by the scheduled output. E) 1.00 minus station time. Answer: D Key Term: Cycle time 23) Four hundred and eighty minutes of production time are available per day. Scheduled production is 120 units per day. What is the required cycle time? A) 4 minutes B) 5 minutes C) 6 minutes D) 7 minutes E) 8 minutes Answer: A Key Term: Cycle time 24) A production line is to be designed for a product whose completion requires 21 minutes of work. The factory works 400 minutes per day. Can an assembly line with five workstations make 100 units per day? A) yes, with exactly 100 minutes to spare B) no, but four workstations would be sufficient C) no, it will fall short even with a perfectly balanced line D) yes, but the line's efficiency is very low E) cannot be determined from the information given Answer: C Key Term: Assembly-line balancing 25) Four hundred and eighty minutes of production time are available per day. The schedule calls for the production of 80 units per day. Each unit of the product requires 30 minutes of work. What is the theoretical minimum number of workstations? A) 2 B) 3 C) 4 D) 5 E) 6 Answer: D Key Term: Assembly-line balancing 26) Which of the following is NOT a heuristic rule for assigning tasks to workstations in a product layout? A) longest tasks first B) in order of most number of following tasks C) median tasks first D) shortest tasks first E) in accordance with positional weight Answer: C Key Term: Heuristic 27) If a layout problem is solved by use of heuristics, this means that: A) there is no other way to solve the problem. B) no computer software is available. C) the problem has only a few alternatives to evaluate. D) no optimum solution exists. E) a satisfactory, but not necessarily optimal, solution is acceptable. Answer: E Key Term: Heuristic 28) Which of the following is a common heuristic for assembly line balancing? A) first come, first served B) least preceding tasks C) earliest due date first D) ranked positional weight E) most preceding tasks Answer: D Key Term: Heuristic 29) An assembly line consists of 21 tasks grouped into 5 workstations. The sum of the 21 task times is 85 minutes. The largest assigned cycle time is 20 minutes. What is the efficiency of this line? A) 4.2 percent B) 17 percent C) 85 percent D) 100 percent E) 21 percent Answer: C Key Term: Assembly-line balancing 30) An assembly line consists of 158 tasks grouped into 32 workstations. The sum of all task times is 105 minutes. The largest assigned cycle time is 4 minutes. What is the efficiency of this line? A) 8 percent B) 21 percent C) 82 percent D) 100 percent E) 81 percent Answer: C Key Term: Assembly-line balancing 31) A(n) ________ line is a machine-paced product-oriented facility for building components. Answer: fabrication Key Term: Fabrication line 32) ________ is the maximum time that the product is allowed at each workstation. Answer: Cycle time Key Term: Cycle time 33) Explain what the purpose of assembly-line balancing is. Describe briefly how it is done. Answer: Assembly-line balancing attempts to put equal amounts of work into each of the workstations that assemble a product. The technique begins with a task list and precedence chart; to this is added demand data, from which cycle time can be computed. This is the maximum time that a product is allowed at each workstation. Then the theoretical number of workstations is calculated. Each required task is then assigned into a workstation, often based on one of the five common heuristic rules. Key Term: Assembly-line balancing 34) Identify the formulas for the following terms that occur in assembly line balancing: (1) cycle time, (2) minimum number of workstations, and (3) efficiency. Answer: (1) Cycle time = Production time available per day / Units required per day; (2) Minimum number of workstations = The total of all task times for the product / Cycle time (3) Efficiency = The total of all task times for the product / [(Actual # of workstations)(Largest assigned cycle time)] Key Term: Assembly-line balancing 35) Identify the five common layout heuristics used to assign tasks to workstations in assembly-line balancing. Answer: (1) longest task (operation) time; (2) most following tasks; (3) ranked positional weight; (4) shortest task (operation) time; (5) least number of following tasks Key Term: Heuristic 36) Assembly line balancing has just been used to solve a product layout problem. Two solutions look especially attractive to the plant managers. Both solutions make the same output per day, and both have the same number of workstations. The managers were going to break the tie by looking at line efficiency, but discovered that both lines had the same efficiency as well. Should they have been surprised at this? Explain. Answer: No, they should not be surprised. Efficiency is the ratio of actual work needed per unit to time available. Work needed is clearly the same in both cases as the product is the same. Work available is also the same, since both lines have the same number of stations and the same maximum assigned cycle time (which determines daily output). Once cycle time and number of stations are known, so is efficiency, no matter what tasks are assigned to what stations within that framework. Key Term: Assembly-line balancing 37) What are the advantages and disadvantages of product-oriented layouts? Answer: The advantages of a product-oriented layout are: The low variable cost per unit usually associated with high-volume, standardized products Low material handling costs Reduced work-in-process inventories Easier training and supervision Rapid throughput The disadvantages are: The high volume required because of the large investment needed to establish the process Work stoppage at any point can tie up the whole operation. The process flexibility necessary for a variety of products and production rates can be a challenge. 38) Develop a solution for the following line balancing problem, allowing a cycle time of 5 minutes. a. Draw the precedence diagram for the set of tasks. b. Calculate the theoretical minimum number of workstations. c. Balance this line using the longest task time heuristic. d. What tasks are assigned to which stations? e. Does the solution have the minimum number of stations? Explain. f. How much idle time is there, summed over all workstations? g. What is the efficiency of this line? Work Task Task Time (seconds) Task Predecessor(s) A 70 - B 60 A C 120 B D 60 - E 240 C, D F 100 A G 190 E, F Answer: The theoretical minimum number of workstations is 3. Balance places ABDF in station 1, C in station 2, E in station 3, and G in station 4. The solution uses four stations, not three. The POM for Windows solution is shown below. Idle time is distributed 10, 180, 60, and 110 per station. There are 360 seconds of idle time in the system. Efficiency is 70.0%.

Q: Many small firms have a tendency to underestimate the amount of capital the business requires when beginning operations. a. True b. False

Q: Use end-aisle locations because they have a very high exposure rate.

Q: After pro forma statements are prepared, they should be checked against actual results every month so projections can be modified. a. True b. False

Q: Distribute what are known in the trade as "power items" to both sides of an aisle, and disperse them to increase the viewing of other items.

Q: Pro forma financial statements are statements that have been prepared in the proper format by a CPA. a. True b. False

Q: The conventional measure of liquidity is the current ratio, which compares the current assets to current liabilities on a relative basis. a. True b. False

Q: Use prominent locations for high-impulse and high-margin items.

Q: Because Liams new restaurant had a high volume of sales, his inventory needs increased illustrating that a firms asset needs are the primary force driving sales. a. True b. False

Q: Locate the high-draw items around the periphery of the store.

Q: The percentage-of-sales technique is an effective method for a new company to estimate asset requirements because asset-to-liabilities ratios tend to be relatively constant within an industry. a. True b. False

Q: Product-oriented layout: Seeks the best personnel and machine utilization in repetitive or continuous production. Section 3 Office Layout 1) Utilization of the total "cube" is the dominant consideration in office layout. Answer: FALSE Key Term: Office layout 2) Deloitte & Touche solved the empty desk problem by: A) assigning permanent desks. B) implementing a "hoteling" program. C) creating open offices. D) no longer allowing employees to work from home. E) reducing the number of allowable sick days per employee. Answer: B Key Term: Office layout 3) In the office relationship chart, which rating reflects the highest importance for two departments' closeness to each other? A) A B) E C) I D) O E) X Answer: A Key Term: Office layout 4) Which of the following constitutes a major trend influencing office layouts? A) downsizing B) globalization C) environmental issues D) off-site employees E) health issues Answer: D Key Term: Office layout 5) Workspace can inspire informal and productive encounters if it balances what three physical and social aspects? A) proximity, privacy, and persuasion B) privacy, persuasion, and permission C) proximity, privacy, and permission D) proximity, persuasion, and permission E) proximity, persuasion, and passion Answer: C Key Term: Office layout 6) A(n) ________ groups workers, their equipment, and spaces/offices to provide for comfort, safety, and movement of information. Answer: office layout Key Term: Office layout 7) The ________ uses non-numeric "closeness" ratings to determine which departments should be located near one another and which departments should be kept farther apart. Answer: office relationship chart or relationship chart Key Term: Office layout Section 4 Retail Layout 1) One guideline for a retail layout is to locate high-draw items around the periphery of the store. Answer: TRUE Key Term: Retail layout 2) Category management is the use of computer software to evaluate the profitability of various merchandising plans for hundreds of categories. Answer: TRUE 3) Servicescape refers to the physical surrounding in which the service is delivered. Answer: TRUE Key Term: Servicescape 4) One guideline for determining the arrangement and space allocation of a retail store is to place high-impulse and high-margin items in prominent locations. Answer: TRUE Key Term: Retail layout 5) The main goal of retail layout is: A) minimizing material handling cost. B) minimizing customer confusion regarding location of items. C) minimizing storage costs. D) minimizing space required. E) maximizing profitability per square foot of floor space. Answer: E Key Term: Retail layout 6) Retail layouts are based on the notion that: A) handling costs should be minimized. B) storage costs should be minimized. C) average customer visit duration should be maximized. D) space used should be minimized. E) maximizing customer exposure rate maximizes sales and profit. Answer: E Key Term: Retail layout 7) Slotting fees: A) are charged by retailers to stock a product. B) can amount to as much as $25,000. C) are not a part of Walmart's business practices. D) can reduce the ability of small businesses to introduce new products. E) all of the above Answer: E Key Term: Slotting fees 8) Which of the following is NOT a retail layout practice? A) Locate the high-draw items around the periphery of the store. B) Distribute power items throughout the store. C) Use end-aisle locations to maximize product exposure. D) Use prominent locations for high-impulse and high-margin items. E) All of the above are retail layout practices. Answer: E Key Term: Retail layout 9) What is the primary reason why retailers tend to locate high-draw items around the periphery of the store? A) More shelf space for those popular items is available around the periphery. B) There will be less congestion of customers than there would be in the middle. C) This arrangement will help to maximize customer exposure to other items in the store. D) It is easier to put large advertisement signs on the outside walls right next to the items. E) This arrangement allows customers to travel through the store as quickly as possible. Answer: C Key Term: Retail layout 10) Which of the following does NOT support the retail layout objective of maximizing customer exposure to products? A) Locate high-draw items around the periphery of the store. B) Use prominent locations for high-impulse and high-margin items. C) Maximize exposure to expensive items. D) Use end-aisle locations. E) Convey the store's mission with the careful positioning of the lead-off department. Answer: C Key Term: Retail layout 11) Ambient conditions; spatial layout and functionality; and signs, symbols, and artifacts are all: A) indicators of imbalance on an assembly line. B) indicators that cross-docking has been successful. C) elements of customization in a warehouse layout. D) elements of servicescapes. E) elements of successful office layouts. Answer: D Key Term: Servicescape 12) A(n) ________ addresses flow, allocates space, and responds to customer behavior. Answer: retail layout Key Term: Retail layout 13) ________ are charges that manufacturers pay to get their products displayed. Answer: Slotting fees Key Term: Slotting fees 14) ________ refers to the physical surroundings in which a service takes place, and how they affect customers and employees. Answer: Servicescape Key Term: Servicescape 15) ________ is the use of computer software to evaluate the profitability of merchandising plans in a retail layout. Answer: Category management 16) What design guidelines help retail layouts to maximize customer exposure to products? Answer:

Q: The term net working capital equals current assets less total liabilities and is a measure of a companys liquidity. a. True b. False

Q: Work-cell layout: Arranges machinery and equipment to focus on production of a single product or a group of related products.

Q: Process-oriented layout: Deals with low-volume, high-variety production.

Q: Financial projections should be limited to the income statement to prevent information overload on lenders and investors. a. True b. False

Q: Fixed-position layout: Addresses the layout requirements of large, bulky projects such as ships and buildings.

Q: Spontaneous debt financing results when accounts payable increase in proportion to a firms profits. a. True b. False

Q: The projection of profits, asset requirements, financing requirements and cash flows are essential in determining whether a venture is economically viable. a. True b. False

Q: Warehouse layout: Addresses trade-offs between space and material handling.

Q: A line of credit is a short-term loan used in a business to help with financing fixed assets. a. True b. False

Q: Retail layout: Allocates display space and responds to customer behavior.

Q: Office layout: Positions workers, their equipment, and spaces/offices to provide for movement of information.

Q: To project pro forma financial statements, speaking to others in the industry and researching industry averages are good starting points. a. True b. False

Q: Operations Management, 11e (Heizer/Render) Section 1 The Strategic Importance of Layout Decisions 1) The objective of layout strategy is to develop an effective and efficient layout that will meet the firm's competitive requirements. Answer: TRUE Key Term: The strategic importance of layout decisions 2) Which of the following is NOT one of McDonald's "seven major innovations"? A) the Happy Meal B) drive-through windows C) breakfast menus D) play areas E) self-service kiosks Answer: A 3) The objective of layout strategy is to: A) minimize cost. B) develop an effective and efficient layout that will meet the firm's competitive requirements. C) maximize flexibility. D) minimize space used. E) maximize worker satisfaction. Answer: B 4) Identify McDonald's seven major innovations. Answer: The seven major innovations are indoor seating, drive-through windows, breakfast menus, play areas, the "Made by You" kitchen system, the self-service kiosk, and the 21st century look. 5) In what specific areas does the layout decision establish a firm's competitive priorities? Answer: Layout decisions establish a firm's competitive priorities in regard to: capacity, processes, flexibility, and cost, as well as quality of work life, customer contact, and image. Section 2 Types of Layout 1) The layout approach that addresses trade-offs between space and material handling is called the fixed-position layout. Answer: FALSE Key Term: Warehouse layout 2) The ________ layout's main objective is to equalize the task time for each station. A) work cell B) fixed position C) office D) job shop E) product oriented Answer: E 3) A hospital's layout most closely resembles which of the following? A) product oriented B) work cell C) job shop D) project E) retail Answer: C Key Term: Process-oriented layout 4) What layout strategy deals with low-volume, high-variety production? A) fixed-position layout B) retail layout C) warehouse layout D) office layout E) process-oriented layout Answer: E Key Term: Process-oriented layout 5) "A special arrangement of machinery and equipment to focus on production of a single product or group of related products" describes what layout type? A) fixed-position layout B) intermittent production C) job shop D) work cell E) warehouse layout Answer: D Key Term: Work cell 6) A good layout requires determining: A) material handling equipment. B) capacity and space requirements. C) environment and aesthetics. D) cost of moving between various work areas. E) all of the above Answer: E 7) Which of the statements below best describes office layout? A) positions workers, their equipment, and spaces/offices to provide for movement of information B) addresses the layout requirements of large, bulky projects such as ships and buildings C) seeks the best personnel and machine utilization in repetitive or continuous production D) allocates shelf space and responds to customer behavior E) deals with low-volume, high-variety production Answer: A Key Term: Office layout 8) To develop a good facility layout, what must be determined? Answer: You need to consider the following to determine a good layout: material handling equipment, capacity and space requirements, environment and aesthetics, flows of information, and cost of moving between various work areas. 9) Identify the seven fundamental layout strategies. Describe the use of each one very briefly. Answer:

Q: The cash budget is concerned only with dollars received and dollars paid out. a. True b. False

Q: High-tech businesses (such as computer manufacturers) generally require fewer assets than service businesses. a. True b. False

Q: Option FC ($) VC ($/unit) A 50000 2 B 100000 1 C 60000 4 Answer: To solve for the crossover points, students should set the total cost functions equal for the various options. This gives the following equations 50,000 + 2x = 100,000 + x, x = 50,000 units 50,000 + 2x = 60,000 + 1.4x, x = 16,667 units 100,000 + x = 60,000 + 1.4x, x = 100,000 units To check which function is the lowest cost for a given range, students should test each function for its total cost. For example A(0) = 50000 + 2(0) = 50,000 B(0) = 100000 + 1(0) = 100,000 C(0) = 60000 + 1.4(0) = 60,000 Therefore for the range 0 to 16,667 option A is cheapest. A(20000) = 90000 B(20000) = 120000 C(20000) = 88000 Therefore for the range 16,667 to 50,000 option C is cheapest. A(60,000) = 170,000 B(60,000) = 160,000 C(60,000) = 144,000 Therefore for the range 50,000 to 100,000 option C is cheapest A(110,000) = 270,000 B(110,000) = 210,000 C(110,000) = 214,000 Therefore for the range 100,000 or more option B is cheapest Combining these ranges shows that for production of under 16,667 units A is cheapest, for between 16,667 and 100,000 C is cheapest, and for 100,000 and above B is cheapest. Key Term: Locational cost-volume analysis 48) A grocery chain is deciding on where to locate its new distribution center (DC). The new DC will serve four grocery stores, each with a demand of 10,000 units. If the coordinates of the stores are (112,108), (110,50), (40, 85), and (10, 25) where should the DC be located? Suppose now that each store instead had demand of 20,000 units. Where should the DC go in this case? Answer: Since each store has the same demand, the x and y coordinates can simply be averaged and the DC will be located in the same spot for each case. X = (112 + 110 + 40 + 10)/4 = 68 Y = (108 + 50 + 85 + 25) = 67 Thus the DC should be located at (68,67) for both cases. Key Term: Center-of-gravity method 49) Suppose that a bus company is deciding where to locate its central hub. There are 6 possible destinations for the buses. Suppose that the center of town will be used as the reference for describing the possible destinations. A is located 5 miles South and 3 miles West. B is located 3 miles North and 2 miles East. C is located 1 mile South and 5 miles East. D is located 2 miles North and 3 miles West. E is located exactly in the center of town. F is located 10 miles North and 5 miles East. Assume that traffic to each destination will be equal. Where should the hub go so that travel time is minimized? Answer: Since each site has the same demand the coordinates can simply be averaged. Converting the center of town to (0,0) will mean that coordinates that are labeled South become -y and those labeled West become -x, while North becomes +y and East +x. Thus the location is found to be: X= (-3+2+5-3+0+5)/6 =1 Y= (-5+3-1+2+0+10)/6=1.5 Converting back into direction yields 1 mile East and 1.5 miles North of the center of town should be the location for the hub. Key Term: Center-of-gravity method Section 4 Service Location Strategy 1) Service firms choose locations based, in part, on the revenue potential of a site. Answer: TRUE 2) The location decisions of goods-producing firms will generally pay more attention to parking, access, and traffic counts than will service location decisions. Answer: FALSE 3) Location decisions of goods-producing companies often assume that costs are relatively constant for a given area; therefore, the revenue function is critical. Answer: FALSE 4) Which of the following is NOT among the eight determinants of revenue and volume for a service firm? A) quality of management B) shipment cost of finished goods C) purchasing power of the customer-drawing area D) uniqueness of the firm's and the competitors' locations E) competition in the area Answer: B 5) Which of the following is among the eight determinants of revenue and volume for a service firm? A) uniqueness of the firm's and the competitors' locations B) quality of the competition C) quality of management D) purchasing power of the customer-drawing area E) all of the above Answer: E 6) Traffic counts and purchasing power analysis of drawing area are techniques associated with: A) locational cost-volume analysis. B) a manufacturing location decision. C) a retail or professional service location decision. D) the factor-rating method. E) the transportation model. Answer: C 7) La Quinta Inns has a competitive edge over its rivals because it: A) uses regression analysis to determine which variables most influence profitability. B) has better television advertisements. C) picks larger locations than its rivals. D) builds only along interstate highways. E) consistently receives four-star ratings for its inns. Answer: A 8) Which of the following is NOT one of the predictive variables chosen by the profitability regression model used by La Quinta Inns? A) the price of the inn B) median income levels C) the state population per inn D) the location of nearby colleges E) the number of inns in a region Answer: E 9) Traffic counts and demographic analysis of drawing area are associated with: A) the center-of-gravity method. B) manufacturing location decisions. C) service location decisions. D) the transportation model. E) locational cost-volume analysis. Answer: C 10) Location analysis techniques typically employed by service organizations include: A) the factor rating method. B) the center-of-gravity method. C) purchasing power analysis of area. D) traffic counts. E) all of the above. Answer: E 11) Which of the following is most likely to affect the location decision of a service firm rather than a manufacturing firm? A) energy and utility costs B) attitude toward unions C) parking and access D) cost of shipping finished goods E) labor costs Answer: C 12) Which of the following is a location analysis technique typically employed by a service organization? A) purchasing power analysis B) linear programming C) queuing theory D) transportation method E) locational cost-volume analysis Answer: A 13) A jewelry store is more likely than a jewelry manufacturer to consider ________ in making a location decision. A) transportation costs B) cost of raw materials C) appearance/image of the location D) quality of life E) taxes Answer: C 14) Which of the following is a location analysis technique typically employed by a manufacturing organization? A) transportation method B) queuing theory C) correlation analysis and traffic counts D) simulation E) demographic analysis Answer: A 15) Which of the following assumptions is NOT associated with strategies for goods-producing location decisions? A) Most major costs can be identified explicitly for each site. B) Focus on identifiable costs. C) High customer-contact issues are critical. D) Intangible costs can be evaluated. E) Location is a major determinant of cost. Answer: C 16) Which of the following is most likely to affect the location strategy of a manufacturing firm? A) appearance/image of the area B) utility costs C) purchasing power of drawing area D) competition in the area E) parking availability Answer: B 17) Industrial firms choose locations that minimize cost, but service firms look for locations with good demographics and traffic count because these variables are indicators of good ________. Answer: revenue or volume of business 18) Service location strategies and goods-producing location strategies rely on very different sets of assumptions. What are the assumptions associated with goods-producing locations? How do these assumptions lead to a location strategy? Answer: The assumptions for goods-producing locations are: (1) location is a major determinant of cost; (2) most major costs can be identified explicitly for each site; (3) low customer contact allows focus on the identifiable costs; and (4) intangible cost can be objectively evaluated. On the basis of these assumptions, the location strategy for goods-producing firms is usually aimed at minimizing cost. 19) How do service facility location decisions differ from industrial location decisions in terms of the techniques used to analyze them? Answer: Service location decisions tend to focus on the revenue function, whereas manufacturing/industrial location decisions tend to focus on costs. The service sector uses techniques such as regression analysis, traffic counts, demographic analysis, purchasing power analysis, and GIS. Services do share two methods with manufacturing firms: the factor-weighting approach and and the center-of-gravity method. 20) Identify the four predictive variables chosen by the profitability regression model used by La Quinta Inns. Identify some that were tested but not included in the final model. Answer: The variables are: (1) the price of the inn, (2) median income levels, (3) the state population per inn, and (4) the location of nearby colleges. Some of those tested that did not have a large impact on profits include: the number of hotel rooms in the vicinity and their average room rates; local attractions such as office buildings and hospitals that drew potential customers to a 4-mile trade area; local population and unemployment rate; the number of inns in a region; and physical characteristics of the site, such as ease of access or sign visibility. Section 5 Geographic Information Systems 1) What describes a system that stores and displays information that can be linked to a geographic location? A) AIS B) LOC C) GLOC D) LIS E) GIS Answer: E Key Term: Geographic information system (GIS) 2) Geographic information systems can assist the location decision by: A) automating center-of-gravity problems. B) computerizing factor-rating analysis. C) combining geography with demographic analysis. D) updating transportation method solutions. E) providing good Internet placement for virtual storefronts. Answer: C Key Term: Geographic information system (GIS) 3) Databases containing such variables as street maps, utilities, population age and income, and the software that analyzes such data for location decisions, are referred to as ________. Answer: geographic information systems or GIS Key Term: Geographic information system (GIS)

Q: Site W(1) W(2) A 65 5 B 60 15.5 C 75 19.5 D 95 19

Q: Financial forecasts are required by lenders since they will want to know how they will be paid back; investors will use the forecasts to value the company. a. True b. False

Q: Bowz 4 Kidz is a new business that Ellie has started out of her home utilizing an online business model. In developing pro forma financials, what general questions do the statements need to answer and how will they be applied to Ellies business?

Q: Distance to COG Project A 94 Project B 29.29 Project C 23.35 Project D 17.90 31.94(2) + 29.29(2) + 23.35(2) + 17.9(2) = 204.96 total miles traveled Key Term: Center-of-gravity method 44) Every month, a distribution center will deliver 14,000 units to Retailer A at coordinates (20, 10), 12,000 units to Retailer B at coordinates (30, -15), and 20,000 units to Retailer C at coordinates (4, 4). Assuming no constraints on location, at what coordinates should the distribution center be located (rounded to two decimal places)? Answer: (15.65, 0.87), where 15.65 = [20(14) + 30(12) + 4(20)]/(14 + 12 + 20), and 0.87 = [10(14) - 15(12) + 4(20)]/(14 + 12 + 20). Key Term: Center-of-gravity method 45) A school district is considering where in town to house its central office (The office must also be located at an existing school for cost reasons). If there are five schools in the district, with locations and size given in the following table, use the center-of-gravity method to determine at which school the central office should be placed to minimize the average distance between the office and students. Location (X,Y) Size (Enrollment) A (5,5) 2500 B (0,5) 1000 C (0,0) 10,000 D (5,0) 4500 E (2,1) 7500 Answer: The total number of students is (2500 + 1000 + 10,000 + 4500 + 7500) = 25,500 X = [5(2500) + 0(1000) + 0(10,000) + 5(4500) + 2(7500)]/25,500 = 1.96 Y = [5(2500) + 5(1000) + 0(10,000) + 0(4500) + 1(7500)]/25,500 = .98 Rounding these gives (X,Y) of (2,1) which is closest to school E. Key Term: Center-of-gravity method 46) A school district is considering four locations for a new high school. There are four factors the district is considering (cost of land, distance to students, land size, and traffic flow). The higher the factor score, the better. The district would like to compare results using two weighting systems. The first system would give each factor equal weight and the second would give the factors weights of .4, .2, .1, and .3 respectively. Use the factor rating method to determine which location is best for each weighting system. (Note that the weights for system 1 can be anything, as long as they're equal.) Factor W(1) W(2) A B C D Cost of Land 1 .4 10 20 25 5 Distance to Students 1 .2 30 25 15 20 Land Size 1 .1 5 10 20 40 Traffic Flow 1 .3 20 5 15 30 Answer: Applying the factor rating method gives the following results:

Q: Weight X coord Y coord Project A 1 50 10 Project B 1 15 60 Project C 1 40 60 Project D 1 30 20 Sum Average 33.75 37.5 Weighted Average 33.75 37.5 b.

Q: Briefly explain liquidity and its relationship to the current ratio.

Q: Weight Location A Location B Location C Wages 40 30 75 90 Labor Climate 30 40 70 40 Taxes 15 80 40 90 Utilities 15 75 60 10 Total 100 Weighted sum 4725 6600 6300 Weighted average 47.25 66 63 Key Term: Factor-rating method 42) A contractor for the military is looking for a new location for a supply depot. The depot will supply four bases whose tonnage (demand) and map coordinates are shown below. If management wants the depot to have a central location, what should be its map coordinates? Bases (X,Y) Coordinates Tonnage Fort Able (40,110) 30,000 Base Baker (70, 50) 60,000 CampCharlie (90, 20) 35,000 CampDelta (70, 80) 75,000 Answer: The depot should be located near X = 69, Y = 65. Bases Weight X coord Y coord X mult. Y mult. Fort Able 30,000 40 110 1,200,000 3,300,000 Base Baker 60,000 70 50 4,200,000 3,000,000 CampCharlie 35,000 90 20 3,150,000 700,000 CampDelta 75,000 70 80 5,250,000 6,000,000 Sum 200,000 270 260 13,800,000 13,000,000 Weighted Average 69 65 Key Term: Center-of-gravity method 43) A highway contractor needs to locate a single supply point to provide road building materials to four projects. The four projects, which are all approximately the same magnitude, are located at the following coordinates. Coordinate units are in miles. X (East) Y (North) Project A 50 10 Project B 15 60 Project C 40 60 Project D 30 20 a. What is the center of gravity? b. If a single truck were sent from center-of-gravity to each project and back (four round trips), how many miles would be traveled? (Hint: use the Pythagorean Theorem C = ). Answer: a. The supply point should be at (33.75, 37.50).

Q: What are the categories that constitute working capital versus net working capital?

Q: Sheet Metal Mill Solution Weighted # trips x-coord y-coord X multiplied Y multiplied Rayburn 20. 130. 380. 2,470. Zavalla 3. 60. 40. 180. 120. Henderson 5. 70. 100. 350. 500. Wax MIlls 6. 90. 30. 540. 180. Total 33. 240. 300. 1,450. 3,270. Average 60. 75. Weighted Average 43.9394. 99.0909. Key Term: Center-of-gravity method 40) A small producer of music boxes wants to move to a larger facility. Two alternative facilities have been found. Site 1 has a fixed cost of $500,000 per year, with a variable cost of $25 per unit. Site 2 has a fixed cost of $800,000 per year, but a variable cost of $22 per unit. a. Write out the equation for total cost for each site. b. At what volume of output would the two locations have the same total cost? c. For what range of output would Site 1 be superior? d. For what range of output would Site 2 be superior? Answer: (a) The equation for the total cost at site 1 is TC = 500,000 + 25X, where X is volume. The equation for total cost at Site 2 is TC = 800,000 + 22X. (b) Set these two equations equal and solve for X. 500,000 + 25X = 800,000 + 22X leads to 300,000 = 3X, then to X = 100,000. (c) Site 1 is preferred for volumes up to 100,000 units, and (d) site 2 is preferred above 100,000 units. Key Term: Locational cost-volume analysis 41) A small manufacturer is considering several locations for a new facility. They have identified four factors that they consider to be important for their location decision. They have decided to assign scores to the four factors, with a higher score indicating a more favorable location. Use the information in the following table to perform a factor rating to select the best location. Weight Location A Location B Location C Wages 40 30 75 90 Labor Climate 30 40 70 40 Taxes 15 80 40 90 Utilities 15 75 60 10 Answer: Location B is the preferred location.

Q: Faye is developing a statement of cash flows for Yummy Gummies, a candy company that she owns. She has a net profit of $15,000 and an increase in inventory of $7,500. She took out a line of credit with her bank to finance her business and has decreased accounts receivable by $4,000. She has also invested in equipment for shaping her candy. How will the above information be listed on the cash flow statement?

Q: Collection Point Weight X coord Y coord A 9,000 4 8 B 4,000 7 2 C 2,000 4 1 D 5,000 7 3 Sum 20,000 22 14 Average 5.5 3.5 Weighted Average 5.35 4.85 Key Term: Center-of-gravity method 39) A manufacturer of stamped metal auto parts has four parts factories in one city at the location coordinates shown below. Each coordinate unit represents a city block (roughly 100 meters). The yearly demand at each factory is also given. Factories Demand X-Coord. Y-Coord. RayburnIndustrial Park 19,000 20 130 Port of Zavalla 3,000 60 40 HendersonMfg.Center 5,000 70 100 Wax Mills Site 6,000 90 30 Management has decided to build a new sheet metal mill, to supply these factories, at a location central to these plants. What should be the map coordinates of the new plant? Answer: The mill should be located near (44, 99).

Q: Explain the percentage-of-sales technique. Will this technique differ by industry type?

Q: Natasha has been in business for a little over a year with her Sips and Munchies Coffee Shop where she sells an array of coffees and pastries. She rents a building with a downtown location and manages the business and employees herself. Discuss factors that drive the companys profits.

Q: Factor Weight A B C Labor Climate 10 35 45 20 Taxes 30 30 40 40 Utilities 20 25 20 45 Wages 40 10 25 25 Total 100 Weighted sum 2150 3050 3300 Weighted average 21.5 30.5 33.0 Key Term: Factor-rating method 38) Environmental Glass Products, Inc. wants to build a new centralized facility to receive household, commercial, and industrial glass for recycling. This center will be supplied by trucks coming from four "collection points," where recyclable glass is dropped off by individuals and businesses. The volume and the map coordinates for the four collection centers are shown below. Where should the collection center be located? Collection point Load (X,Y) Coordinates A 9,000 (4,8) B 4,000 (7,2) C 2,000 (4,1) D 5,000 (7,3) Answer: The center should be built near coordinates (5.35, 4.85).

Q: What are sources of equity ownership in a business? Are these sources cash resources?

Q: Weight X coord Y coord Location 1 3 2 10 Location 2 2 6 8 Location 3 4 4 9 Location 4 1 9 5 Location 5 3 8 1 Location 6 2 3 2 Location 7 1 2 6 Sum 16 34 41 Average 4.857 5.857 Weighted Average 4.6875 6.25 Key Term: Center-of-gravity method 36) The owner of a millwork shop is considering three alternative locations for a new plant for building embossed-and-clad steel exterior doors for residences. Fixed and variable costs follow. Since the plant ships nationwide, revenue is assumed the same regardless of plant location. Identify the range over which each location is best. Location Costs A B C Fixed $700,000 $1,000,000 $1,1000,000 Variable $28 $18 $20 Answer: A is cheapest from 0 to about 30,000 units. B is cheapest thereafter. C can never be preferred. Break-even points Units Dollars Location A vs. Location B 30,000 $1,540,000 Location A vs. Location C 50,000 $2,100,000 Location B vs. Location C -50,000 $100,000 Key Term: Locational cost-volume analysis 37) A manufacturing firm is considering three potential locations for a new parts manufacturing facility. A consulting firm has assessed three sites based on the four factors supplied by management as critical to the location's success. Given the management-supplied factor weights and the consultant team scores, which location should be selected? Scores are based on 50 = best. Location Factor Weight A B C Labor Climate 10 35 45 20 Taxes 30 30 40 40 Utilities 20 25 20 45 Wages 40 10 25 25 Answer: C is clearly better than either A or B. This problem illustrates the importance of having good scores on important factors. B has scores that sum to the same amount as those of C, but they are in the wrong places.

Q: What five areas of business activity need to be examined to answer the question How profitable is the business?

Q: Weight W X Y Z Business services 1 7 9 5 4 Community services 1 5 7 6 7 Real estate cost 1 7 3 8 6 Construction costs 1 8 6 6 5 Operating costs 2 5 4 7 6 Business taxes 1 6 9 6 4 Transportation costs 2 8 6 7 8 Total 9 Weighted sum 59 54 59 54 Weighted average 6.56 6 6.56 6 Key Term: Factor-rating method 35) A telecommunications firm is planning to lay fiber optic cable from several community college distance learning sites to a central studio, in such a way that the miles of cable are minimized. Some locations require more than one set of cables (these are the loads). Where should the studio be located to accomplish the objective? College Map Coordinate (x, y) Load A (2,10) 3 B (6,8) 2 C (4,9) 4 D (9,5) 1 E (8,1) 3 F (3,2) 2 G (2,6) 1 Answer: This is a center-of-gravity problem, even though it is not about shipping tangible items. The center of gravity is at coordinates X = 4.69, Y = 6.25

Q: Briefly explain the difference between accrual-basis accounting and cash-basis accounting.

Q: Business services 1 7 9 5 4 Community services 1 5 7 6 7 Real estate cost 1 7 3 8 6 Construction costs 1 8 6 6 5 Operating costs 1 5 4 7 6 Business taxes 1 6 9 6 4 Transportation costs Total 7 46 44 45 40 Weighted average 6.579 6.286 6.429 5.714

Q: Erin, the owner of Sweets To Eat Ice Cream Shoppe, wants to know how her company is operating from a financial perspective. Her CPA has given her the following numbers: Sales $325,000, Operating Profits $50,000, Current Assets $125,000, Current Liabilities $40,000, and Total Assets $350,000. The ice cream retail industry norms include Operating Profit Margin 10%, Return on Assets 11% and Current Ratio 2.7. Determine the companys profitability on its assets and compare to the industry ratios.

Q: Location Factor Weight A B C Easy access 15 86 72 90 Parking facilities 0.20 72 77 91 Display area 0.18 86 90 90 Shopper (walking) traffic 0.21 94 86 80 Neighborhood wealth 0.16 99 89 81 Neighborhood safety 0.10 96 85 75 Answer: A is best (87.96), followed by C (85.16). B is somewhat further behind (83.20). Key Term: Factor-rating method 34) A manager has received an analysis of several cities being considered for a new order fulfillment center (warehouse) for Shop at Home Network. The scores (scale is 10 points = best) are contained in the table below. a. If the manager weights the factors equally, how would the locations be ranked? b. If transportation costs and operating costs are given weights that are double the weights of the others, should the locations be ranked differently? Location Factor W X Y Z Business services 7 9 5 4 Community services 5 7 6 7 Real estate cost 7 3 8 6 Construction costs 8 6 6 5 Operating costs 5 4 7 6 Business taxes 6 9 6 4 Transportation costs 8 6 7 8 Answer: The locations are ranked W, Y, X, Z with equal weights; but W and Y tie for highest, and Z and X tie for lowest as revised.

Q: What accounts would be included as operating activities and financing activities for an income statement?

Q: East Texas Seasonings Solutions Weighted # trips x-coord y-coord X multiplied Y multiplied A 30. 40. 3,000. 4,000. B 400. 20. 15. 8,000. 6,000. C 150. 55. 60. 8,250. 9,000. D 250. 20. 70. 5,000. 17,500. Total 900. 125. 185. 24,250. 36,500. Average 31.25 46.25 Weighted Average 26.9444 40,5556 Median 450. 20. 40. Key Term: Center-of-gravity method 32) Location A would result in annual fixed costs of $300,000 and variable costs of $55 per unit. Annual fixed costs at Location B are $600,000 with variable costs of $32 per unit. Sales volume is estimated to be 30,000 units per year. Which location has the lower cost at this volume? How large is its cost advantage? At what volume are the two facilities equal in cost? Answer: At 30,000 units, Location A has total costs of $1,950,000, while Location B has total costs of $1,560,000. Location B is cheaper by $390,000. The crossover occurs where 600,000 + 32X = 300,000 + 55X, or at X = 300,000 / 23 = 13,043 units Key Term: Locational cost-volume analysis 33) Using the factor ratings shown below, determine which location alternative should be chosen on the basis of maximum composite score.

Q: When an entrepreneur is trying to determine how management decisions have impacted the business for the past year, what four areas are critical? What ratios would need to be calculated to find answers?

Q: Weight Barclay Chester Factor 1 40 75 70 Factor 2 0.25 60 80 Factor 3 0.15 45 90 Factor 4 0.20 80 65 Total 1.00 Weighted sum 67.75 74.5 Weighted average 67.75 74.5 Key Term: Factor-rating method 30) A manufacturing company is considering two alternative locations for a new facility. The fixed and variable costs for the two locations are found in the table below. For which volume of business would the two locations be equally attractive? If the company plans on producing 50,000 units, which location would be more attractive? Glen Rose Mesquite Fixed Costs $1,000,000 $1,500,000 Variable Costs ($ per unit) 25 23 Answer: Crossover is at 250,000 units. Below the crossover, Glen Rose must be cheaper as it has the lower fixed cost. Thus, for an estimated unit volume of 50,000, Glen Rose should be chosen. Break-even points Units Dollars Option 1 vs. Option 2 250,000 7,250,000 Volume analysis at 50,000 units Option 1 Option 2 total cost $2,250,000.00 $2,650,000.00 Key Term: Locational cost-volume analysis 31) East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. a. Calculate the volume-weighted center of gravity. b. Calculate the simple center of gravity (all cities weighted equally). c. Explain why the two calculations differ. X-coordinate Y-coordinate Volume Athens, Texas 30 40 100 Beaumont, Texas 20 15 400 Carthage, Texas 55 60 150 Denton, Texas 20 70 250 Answer: The weighted center of gravity is located at X = 24,250 / 900 = 26.9, Y = 36,500 / 900 = 40.6. The simple center of gravity is located at X = 125 / 4 = 31.25. Y = 185 / 4 = 46.25. The simple center is more to the east and north than the weighted center of gravity. A partial explanation is that the heaviest tonnage is from Beaumont, which is far to the west and south. Its influence pulls the weighted center toward the west and south.

Q: Sugar Mill Solution Weighted # trips x-coord y-coord X multiplied Y multiplied A 90. 10. 21,600. 2,400. B 320. 140. 60. 44,800. 19,200. C 450. 20. 70. 9,000. 31,500. D 120. 50. 20. 6,000. 2,400. E 60. 100. 80. 6,000. 4,800. F 140. 10. 120. 1,400. 16,800. Total 1330. 410. 360. 88,800. 77,100. Average 68.333 60. Weighted Average 66.7669 57,9699 Median 665. 50. 60. Key Term: Center-of-gravity method 29) A clothing chain is considering two different locations for a new retail outlet. The organization has identified the four factors listed in the following table as the basis for evaluation, and it has assigned weights as shown. The manager has rated each location on each factor, on a 100-point basis (higher scores are better), as shown under the respective columns for Barclay and Chester. a. Calculate the composite score for each alternative location. b. Which site should be chosen? c. Are you concerned about the sensitivity and subjectivity of this solution? Comment. Factor Factor Description Weight Barclay Chester 1 Average community income .40 75 70 2 Community growth potential .25 60 80 3 Availability of public transportation .15 45 90 4 Labor cost .20 80 60 Answer: The higher rated site is Chester, 74.5 to 67.75. There is a margin of nearly seven points, which should overcome most levels of subjectivity. The site factor scores are quite different, so that a small swing in weights could produce swings in scores of a few points, but probably not the seven necessary to reverse the findings.

Q: Trucks for Stuff is a one year old company that provides statewide moving services to customers. Describe the types of current, fixed and other assets Trucks for Stuff would have.

Q: Operations Management, 11e (Heizer/Render) Section 1 The Strategic Importance of Location 1) FedEx chose Memphis, Tennessee, for its central location, or "hub," primarily because of the incentives offered by the city of Memphis and the state of Tennessee. Answer: FALSE 2) FedEx chose Memphis, Tennessee, as its U.S. hub because: A) the city is in the center of the United States, geographically. B) the airport has relatively few hours of bad weather closures. C) it needed a means to reach cities to which it did not have direct flights. D) the firm believed that a hub system was superior to traditional city-to-city flight scheduling. E) All of the above are true. Answer: E 3) Which of the following statements regarding FedEx is TRUE? A) Its hub in Memphis, Tennessee, was selected because of its low cost. B) Memphis, Tennessee, is the only hub in the company's global flight network. C) FedEx believes the hub system helps reduce mishandling and delays due to better controls. D) FedEx uses a hub system in the United States, but a city-to-city network in other countries. E) Memphis is FedEx's only hub airport in the United States. Answer: C Key Term: Global company profile 4) Industrial location analysis typically attempts to: A) minimize costs. B) maximize sales. C) focus more on human resources. D) avoid countries with strict environmental regulations. E) ignore exchange rates and currency risks. Answer: A 5) A location decision for an appliance manufacturer would tend to have what type of focus? A) cost focus B) focus on finding very highly skilled technicians C) revenue focus D) environmental focus E) education focus Answer: A 6) A location decision for a traditional department store (e.g., Macy's) would tend to have what type of focus? A) cost focus B) labor focus C) revenue focus D) environmental focus E) education focus Answer: C 7) As described in the book Aerotropolis, nowadays location decisions worldwide are often being based on what? A) rivers B) rail hubs C) interstate highways D) ports E) airports Answer: E 8) FedEx schedules its aircraft using a(n) ________ system, which it credits with reducing package mishandling and delay in transit. Answer: central hub 9) Why does FedEx use a central hub airline network, rather than a "point-to-point" network? Describe FedEx's approach to choosing its superhub. Answer: The hub system is more centralized, and allows for greater control; greater control reduces package mishandling and transit delays. Also, the hub permits service to a far greater number of points with fewer aircraft than a point-to-point network would. Their U.S. hub in Memphis reflects a need to be geographically centralized, and in a location where schedules can more reliably be kept because weather delays are minimized. 10) State the fundamental objective of a firm's location strategy. How is this basic objective carried out by industrial or goods-producing firms; how does that differ for service firms? Answer: The fundamental objective is to maximize the benefit of location to the firm. For industrial location decisions, the focus is frequently on minimizing cost, because cost often varies dramatically from one location to another. Service location decisions often focus on maximizing revenues. Section 2 Factors That Affect Location Decisions 1) Lists have been developed that rank countries on issues such as "competitiveness" and "corruption." Answer: TRUE 2) The ratio of labor cost per day to productivity, in units per day, is the labor cost per unit. Answer: TRUE 3) For a location decision, labor productivity may be important in isolation, but low wage rates are a more important criterion. Answer: FALSE 4) Unfavorable exchange rates can offset other savings in a location decision. Answer: TRUE 5) An example of an intangible cost, as it relates to location decisions, is the quality of education. Answer: TRUE Key Term: Intangible costs 6) In location decisions, intangible costs are easier to measure than tangible costs. Answer: FALSE Key Term: Intangible costs 7) Location decisions are based on many things, including costs, revenues, incentives, attitudes, and intangibles, but not on ethical considerations. Answer: FALSE 8) Manufacturers may want to locate close to their customers if the transportation of finished goods is expensive or difficult. Answer: TRUE 9) One reason for a firm locating near its competitors is the presence of a major resource it needs. Answer: TRUE Key Term: Clustering 10) Why is Northern Mexico used as a cluster for electronics firms? A) high traffic flows B) venture capitalists located nearby C) natural resources of land and climate D) NAFTA E) high per capita GDP Answer: D Key Term: Clustering 11) Among the following choices, an operations manager might best evaluate political risk of a country by looking at which type of country ranking? A) based on competitiveness B) based on cost of doing business C) based on corruption D) based on magnitude of government social programs E) based on average duration between presidential/prime minister elections Answer: C 12) ________ and ________ are to key country success factors as ________ and ________ are to key region success factors. A) Cultural issues, location of markets; site size and cost, zoning restrictions B) Exchange rates, labor availability; site size and cost, environmental impact C) Labor cost, currency risk; land costs, proximity to customers D) Land costs, proximity to customers; labor cost, air and rail systems E) All of the above are accurate relationships. Answer: C 13) Which of the following workers is the most productive? A) $50 wages, 10 parts produced B) $10 wages, 1 part produced C) $30 wages, 5 parts produced D) $100 wages, 21 parts produced E) $500 wages, 100 parts produced Answer: D 14) A employee produces 15 parts during a shift in which he made $90. What is the labor content of the product? A) $90 B) $5 C) $6 D) $0.167 E) $1,350 Answer: C 15) The reason fast food restaurants often are found in close proximity to each other is: A) they enjoy competition. B) location clustering near high traffic flows. C) low cost. D) availability of skilled labor. E) all of the above. Answer: B Key Term: Clustering 16) Currency risk is based on what assumption? A) Firms that do not continuously innovate will lose market share. B) Values of foreign currencies continually rise and fall in most countries. C) Changing product lines by reacting to every current trend may alienate the customer base. D) The value of one dollar today is greater than the value of one dollar to be received one year from now. E) The U.S. stock market fluctuates daily. Answer: B 17) Governmental attitudes toward issues such as private property, intellectual property, zoning, pollution, and employment stability may change over time. What is the term associated with this phenomenon? A) bureaucratic risk B) political risk C) legislative risk D) judicial risk E) democratic risk Answer: B 18) Globalization of the location decision is the result of all EXCEPT which of the following? A) market economics B) higher quality of labor overseas C) ease of capital flow between countries D) high differences in labor costs E) more rapid, reliable travel and shipping Answer: B 19) In location planning, environmental regulations, cost and availability of utilities, and taxes are: A) global factors. B) country factors. C) regional/community factors. D) site-related factors. E) none of the above. Answer: C 20) Which of the following is usually NOT one of the top considerations in choosing a country for a facility location? A) availability of labor and labor productivity B) exchange rates C) attitude of governmental units D) zoning regulations E) location of markets Answer: D 21) When making a location decision at the country level, which of these would be considered? A) corporate desires B) land/construction costs C) air, rail, highway, waterway systems D) zoning restrictions E) location of markets Answer: E 22) Which of these factors would be considered when making a location decision at the region/community level? A) government rules, attitudes, stability, incentives B) cultural and economic issues C) zoning restrictions D) environmental impact issues E) proximity to raw materials and customers Answer: E 23) When making a location decision at the region/community level, which of these would be considered? A) government rules, attitudes, stability, incentives B) cultural and economic issues C) cost and availability of utilities D) zoning restrictions E) air, rail, highway, waterway systems Answer: C 24) Which of these factors would be considered when making a location decision at the site level? A) government rules, attitudes, stability, incentives B) cultural and economic issues C) zoning regulations D) cost and availability of utilities E) proximity to raw materials and customers Answer: C 25) Tangible costs include which of the following? A) climatic conditions B) availability of public transportation C) taxes D) quality and attitude of prospective employees E) zoning regulations Answer: C Key Term: Tangible costs 26) Intangible costs include which of the following? A) quality of prospective employees B) quality of education C) availability of public transportation D) all of the above E) none of the above Answer: D Key Term: Intangible costs 27) Which of the following statements regarding "proximity" in the location decision is FALSE? A) Service organizations find that proximity to market is the most critical primary location factor. B) Manufacturers want to be near customers when their product is bulky, heavy, or fragile. C) Perishability of raw materials is a good reason for manufacturers to locate near the supplier, not the customer. D) Reduction in bulk is a good reason for a manufacturer to locate near the supplier. E) Clustering among fast food chains occurs because they need to be near their labor supply. Answer: E Key Term: Clustering 28) Which of the following is the best example of the proximity rule that, for service firms, proximity to market is the most important location factor? A) Soft drinks are bottled in many local plants, where carbonated water is added to proprietary syrups that may have been shipped long distances. B) Few people will travel out-of state for a haircut. C) Patients will travel very long distances to have their hernia surgeries performed at ShouldiceHospital. D) Furniture makers choose to locate near the source of good hardwoods, even though it means locating near other furniture manufacturers. E) Metal refiners (smelters) locate near mines to accomplish significant weight reduction near the metal's source. Answer: B 29) ________ costs are readily identifiable and can be measured with precision. Answer: Tangible Key Term: Tangible costs 30) Political risk, cultural issues, and exchange rates are among those ________ that affect which country will be selected for a location decision. Answer: key success factors 31) Labor cost per unit is also referred to as ________. Answer: labor content 32) ________ occurs when competing companies locate near each other because of a critical mass of information, talent, venture capital, or natural resources. Answer: Clustering Key Term: Clustering 33) Identify five factors that have fostered globalization. Answer: Globalization has taken place because of the development of: (1) market economics; (2) better international communications; (3) more rapid, reliable travel and shipping; (4) ease of capital flow between countries; and (5) high differences in labor costs. 34) Identify five factors that affect location decisions at the site level. Answer: Factors that affect location decisions at the site level include site size and cost; air, rail, highway, waterway systems; zoning restrictions; nearness of services/supplies needed; and environmental impact issues. 35) What is the role of labor productivity in location decisions? Answer: Labor productivity is the number of units output per hour of labor input. For location decisions, this is more often displayed in the form of "labor content," which is the dollar labor cost per unit. Labor content provides a useful comparison in cases where wage rates and productivities vary greatly from country to country. In short, low productivity can negate low wages. 36) What is the impact of exchange rates on location decisions? Answer: Exchange rates fluctuate, and they can negate savings from low wage rates. 37) Why is "quality of life" an element of intangible costs associated with location decisions? Provide an example as part of your discussion. Answer: Quality of life affects location decisions in at least one indirect way. Consider a firm that has narrowed its location to two cities. One city has an abundance of educational and recreational facilities, good hospitals and parks. The other has very little of these elements. If you were a prospective employee, in which city would you rather live? Low quality of life can drive up labor costs, and it might also have an impact on training costs and health care costs. Key Term: Intangible costs 38) "Proximity" or closeness implies that a firm should locate "close" to something. What are the three kinds of proximity described in the text? What are the basic conditions under which each is appropriate? What kinds of firms are likely to use each of these? Answer: The three are proximity to markets, proximity to suppliers, and proximity to competitors. Proximity to markets is appropriate when customers will not travel far to get the good or service, or when delivering the product to the customer is costly or difficult. Many services must be close to their markets, as must home construction. Proximity to suppliers is appropriate when raw materials are perishable, or when supplies are costly or bulky to transport. Seafood processors need to be near the docks, and smelters need to be near the mines. Proximity to competitors reflects a kind of synergyretailers find that volume is higher when there are more competitors nearby, because this clustering brings higher traffic counts. 39) What is it called when competing companies locate next to each other? Why do they do this? Answer: It is called clustering. In many cases, this occurs because of a critical mass of information, talent, venture capital, or natural resources. Alternately, clustering occurs because several firms close together create a larger total market than the same firms separated. Key Term: Clustering Section 3 Methods of Evaluating Location Alternatives 1) The graphic approach to locational cost-volume analysis displays the range of volume over which each location is preferable. Answer: TRUE Key Term: Locational cost-volume analysis 2) The factor-rating method can consider both tangible and intangible costs. Answer: TRUE Key Term: Factor-rating method 3) The center-of-gravity method finds the location of a centralized facility, such as a distribution center, that will maximize the organization's revenue. Answer: FALSE Key Term: Center-of-gravity method 4) The transportation model calculates an optimal shipping system between a central facility and several outlying customers. Answer: FALSE Key Term: Transportation model 5) Which of the following statements regarding the center-of-gravity method is FALSE? A) It is designed to minimize the maximum possible travel distance to any of the locations. B) The optimal x- and y-coordinates are calculated separately. C) The optimal solution is unconstrained, so it could suggest a location in the middle of a body of water. D) The weights used are the quantity of goods moved to or from each location. E) The origin of the coordinate system and the scale used are arbitrary, just as long as the relative distances are correctly represented. Answer: A Key Term: Center-of-gravity method 6) Community attitudes, zoning restrictions, and quality of labor force are likely to be considered in which of the following location decision methods? A) transportation method B) locational cost-volume analysis C) center-of-gravity method D) simulation E) factor-rating method Answer: E Key Term: Factor-rating method 7) Which of the following methods best considers intangible costs related to a location decision? A) crossover methods B) locational cost-volume analysis C) factor-rating method D) the transportation method E) center-of-gravity method Answer: C Key Term: Factor-rating method 8) Evaluating location alternatives by comparing their composite (weighted-average) scores involves which of the following? A) factor-rating analysis B) cost-volume analysis C) transportation model analysis D) linear regression analysis E) crossover analysis Answer: A Key Term: Factor-rating method 9) A clothing chain is considering two different locations for a new retail outlet. They have identified the four factors listed in the following table as the basis for evaluation, and have assigned weights as shown. The manager has rated each location on each factor, on a 100-point basis, as shown under the respective columns for Barclay and Chester. Factor Factor Description Weight Barclay Chester 1 Average community income .40 30 20 2 Community growth potential .25 40 30 3 Availability of public transportation .15 20 20 4 Labor cost .20 10 30 What is the score for Chester? A) 10.00 B) 24.50 C) 25.75 D) 27.00 E) 100.00 Answer: B Key Term: Factor-rating method 10) What is an approach to location analysis that includes both qualitative and quantitative considerations? A) locational cost-volume analysis B) factor-rating method C) transportation model D) center-of-gravity method E) make-or-buy analysis Answer: B Key Term: Factor-rating method 11) On the crossover chart where the costs of two or more location alternatives have been plotted, the quantity at which two cost curves cross is the quantity at which: A) fixed costs are equal for two alternative locations. B) variable costs are equal for two alternative locations. C) total costs are equal for all alternative locations. D) fixed costs equal variable costs for one location. E) total costs are equal for two alternative locations. Answer: E Key Term: Locational cost-volume analysis 12) A full-service restaurant is considering opening a new facility in a specific city. The table below shows its ratings of four factors at each of two potential sites. Factor Weight GaryMall Belt Line Affluence of local population .20 30 30 Traffic flow .40 50 20 Parking availability .20 30 40 Growth potential .20 10 30 The score for GaryMall is ________ and the score for Belt Line is ________. A) 120; 120 B) 22; 24 C) 18; 120 D) 34; 28 E) none of the above Answer: D Key Term: Factor-rating method 13) A firm is considering two location alternatives. At location A, fixed costs would be $4,000,000 per year, and variable costs $0.30 per unit. At alternative B, fixed costs would be $3,600,000 per year, with variable costs of $0.35 per unit. If annual demand is expected to be 10 million units, which plant offers the lowest total cost? A) Plant A, because it is cheaper than Plant B for all volumes over 8,000,000 units. B) Plant B, because it is cheaper than Plant A for all volumes over 8,000,000 units. C) Plant A, because it is cheaper than Plant B for all volumes. D) Plant B, because it has the lower variable cost per unit. E) Neither Plant A nor Plant B, because the crossover point is at 10 million units. Answer: A Key Term: Locational cost-volume analysis 14) The center-of-gravity method is used primarily to determine what type of locations? A) service locations B) manufacturing locations C) distribution center locations D) supplier locations E) call center locations Answer: C Key Term: Center-of-gravity method 15) A regional bookstore chain wants to build a distribution center that is centrally located for its eight retail outlets. It will most likely employ which of the following tools of analysis? A) assembly line balancing B) load-distance analysis C) center-of-gravity method D) linear programming E) locational cost-volume analysis Answer: C Key Term: Center-of-gravity method 16) East Texas Seasonings is preparing to build one processing center to serve its four sources of seasonings. The four source locations are at coordinates shown below. Also, the volume from each source is provided. What is the center of gravity? X-coordinate Y-coordinate Volume Athens, Texas 30 30 150 Beaumont, Texas 20 10 350 Carthage, Texas 10 70 100 Denton, Texas 50 50 200 A) X = 28.125; Y = 31.25 B) X = 22000; Y = 24000 C) X = 27.5; Y = 40 D) center of gravity = 28 E) X = 25; Y = 40 Answer: A Key Term: Center-of-gravity method 17) A county wants to build one centrally-located processing facility to serve the county's four recycling drop-off locations. The four drop-offs have characteristics as given in the table below. What is the approximate center of gravity of these four locations? Location X-coordinate Y-coordinate Tonnage Drop-off point A 1 8 10 Drop-off point B 6 7 35 Drop-off point C 6 2 25 Drop-off point D 4 7 50 A) (4.75, 6.04) B) (17, 24) C) (33.5, 135.4) D) (6, 4.25) E) (570, 725) Answer: A Key Term: Center-of-gravity method 18) Production and transportation costs are always considered in which of the following location decision methods? A) traffic counts B) transportation model C) purchasing power D) proximity of markets E) clustering Answer: B Key Term: Transportation model 19) The transportation model, when applied to location analysis: A) minimizes total fixed costs. B) minimizes total production and transportation costs. C) minimizes total transportation costs. D) maximizes revenues. E) minimizes the movement of goods. Answer: B Key Term: Transportation model 20) The ________ method is popular because a wide variety of factors, from education to recreation to labor skills, can be objectively included. Answer: factor-rating Key Term: Factor-rating method 21) The ________ is a mathematical technique used for finding the best location for a single distribution point that services several stores or areas. Answer: center-of-gravity method Key Term: Center-of-gravity method 22) The ________ is used to determine the best pattern of shipments from several points of supply to several points of demand. Answer: transportation model Key Term: Transportation model 23) Identify the four major quantitative methods for solving location problems. Answer: Factor-rating method, locational cost-volume analysis, center-of-gravity method, and transportation model. 24) What are the advantages and disadvantages of the use of the factor-rating method? Answer: Factor rating can handle a mix of quantitative and qualitative variables; its calculations are simple and straightforward. Factor rating is subject to sensitivity to small swings in weights and scores, and is subject to subjectivity (different judges see different scores for same site). Key Term: Factor-rating method 25) What kinds of location decisions are appropriate for the use of locational cost-volume analysis? Write a brief paragraph explaining how the method can assist an operations manager in choosing among alternative sites in making a location decision. Answer: Crossover analysis is appropriate when the primary focus of a location decision is cost. For each alternative site, crossover analysis constructs a total cost curve composed of a fixed cost and a variable cost that depends upon volume. Where these cost curves intersect (or cross over) is the point at which two alternatives have the same cost. The graph of the cost curves of all alternative sites will display the range of volumes over which each site has the lowest cost of all alternatives. Key Term: Locational cost-volume analysis 26) What kinds of location decisions are appropriate for the use of center-of-gravity analysis? What variable is being optimized in this analysis? Answer: The center-of-gravity technique is appropriate when the location decision must find a single centrally-located site to serve any number of outlying points; locating a distribution center to serve a dozen retail stores is an example. The analysis leads to a location that (approximately) minimizes the distribution cost (or total distance traveled) between all outlying points and the center or hub. Key Term: Center-of-gravity method 27) A manufacturing company preparing to build a new plant is considering three potential locations for it. The fixed and variable costs for the three alternative locations are presented below. a. Complete a numeric locational cost-volume analysis. b. Indicate over what range each of the alternatives A, B, C is the low-cost choice. c. Is any alternative never preferred? Explain. Costs A B C Fixed ($) 2,500,000 2,000,000 3,500,000 Variable ($ per unit) 21 25 15 Answer: B is cheapest up to 125,000 units; C is cheapest after 166,667 units. A is cheapest in between. The B-C crossover is not relevant. Thus each alternative has an attractive range. Break-even points Units Dollars Option A vs. Option B 125,000 5,125,000 Option A vs. Option C 166,667 6,000,000 Option B vs. Option C 150,000 5,750,000 Key Term: Locational cost-volume analysis 28) A farmers' cooperative association plans to build a new sugar mill in Southwestern Louisiana. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use the city of Lake Charles as (0,0). Village Miles East of Lake Charles Miles North of Lake Charles Sugar Cane tonnage Arceneaux 90 10 240,000 Boudreaux 140 60 320,000 Cancienne 20 70 450,000 Darbonne 50 20 120,000 Evangeline 100 80 60,000 Fontenot 10 120 140,000 Answer: The center of gravity, weighted by the tonnage at each village cluster, is about 66.8 miles east of Lake Charles and 58.0 miles north of Lake Charles.

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