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Sofia will consume hot dogs only with whipped cream. Show her preference map. Wh

ID: 1252177 • Letter: S

Question

Sofia will consume hot dogs only with whipped cream. Show her preference map. What is her utility function?

She also requires a minimum level of consumption, a threshold, to derive additional utility: U(X,Z) is 0 if X + Z is less than or equal to 5 and is X + Z otherwise. Draw Sofia's indifference curves. Which of our preference assumptions does this example violate?

Explanation / Answer

U(X,Z) = X + Z for (X+Z)>5 It violates the assumption that indifference curves are continuous (the area bounded by x + y < 5 is not part of the curve). Also, since she requires equal amounts of X&Y, her indifference curve is a straight line represented by the following equation: y = x for x >2.5
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