4.8 Two of the simplest utility functions are: 1. Fixed proportions: U(x, y) = min[x, y]. 2. Perfect substitutes: U(x, y) = x + y. a. For each of these utility functions, compute the following: • Demand functions for x and y • Indirect utility function • Expenditure function b. Discuss the particular forms of these functions you calculated-why do they take the specific forms they do?

Microeconomic Theory
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ISBN:9781337517942
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Chapter4: Utility Maximization And Choice
Section: Chapter Questions
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4.8
Two of the simplest utility functions are:
1. Fixed proportions: U(x, y) = min[x, y].
2. Perfect substitutes: U(x, y) = x + y.
a. For each of these utility functions, compute the
following:
• Demand functions for x and y
• Indirect utility function
• Expenditure function
b. Discuss the particular forms of these functions you
calculated-why do they take the specific forms they
do?
Transcribed Image Text:4.8 Two of the simplest utility functions are: 1. Fixed proportions: U(x, y) = min[x, y]. 2. Perfect substitutes: U(x, y) = x + y. a. For each of these utility functions, compute the following: • Demand functions for x and y • Indirect utility function • Expenditure function b. Discuss the particular forms of these functions you calculated-why do they take the specific forms they do?
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