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Question
If an Engel curve is downward sloping, then one of the two goods must be inferior.Answer
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If a consumer demands the same (positive) amount of a good no matter what their income, then the income elasticity is also positive.
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The (ordinary) demand curve for a normal good must be downward sloping.
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Parallel shifts in the budget line are considered when deriving the demand curve for a good.
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A Paasche price index makes price changes seem better for the consumer than they really are.
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The budget line is steep when X in inexpensive relative to Y.