What are the assumptions of the exponential distribution applied to the

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What are the assumptions of the exponential distribution applied to the single server queuing situation? Provide examples of when these assumptions might be violated.

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Q: Jackson Sheds has four different warehouse configurations under study, ranging from four warehouses to seven warehouses (only integer values). Each warehouse has a capacity of 400 units and costs $200 to maintain over the course of a year. Demand can range from 1,000 units per year up to 2,000 units in increments of 250 units. If the system warehouse capacity is sufficient to handle the year's demand, then the per unit cost is $2 per unit, but if the warehouse capacity is insufficient, the per unit cost for each unit in excess of system capacity is $5 per unit. The likelihood for each possible demand is shown in the table. Likelihood 0.1 0.2 0.3 0.3 0.1 Demand 1,000 1,250 1,500 1,750 2,000 Which warehouse configuration is best for Jackson Sheds?

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Q: The three-person crew worked their way through the neighborhood, testing doorknobs and windows and slipping past security systems like a team of ninjas. Of course, they weren't ninjas, but a crew of brazen burglars, hoping to grab cash and other valuables to fence at the next level of their supply chain. Fortune smiles on them on this day in the prestigious Edmond Oaks neighborhood. A lawn maintenance crew is creating a tremendous racket mowing and edging lawns, which completely drowns out the sounds of breaking glass. Details of the day's haul appear in Table C. a. What is the multifactor productivity? b. What is the labor productivity? Table C: The Haul ITEM SALES PRICE LABOR MATERIAL Krugerrand $1,500 1 hr $2 Flat screen TV $250 .25 $1 $200 cash $200 .05 $45 Lava lamp $5 .15 $25 Rolex watch $180 .10 $1 Workers are paid at a flat rate of 20% of the sales price of the merchandise. Materials cost represents the cost of gasoline and surgical gloves, and overhead is 20% of the sales price of the merchandise.

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