Suppose that we have a utility function involving two goods that is linear of the form U = ax+by. a. Derive demand functions for x and y b. Derive indirect utility functions c. Derive the expenditure function for this utility function. Hint: The expenditure function will have kinks at various price ratios.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.8P
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Suppose that we have a utility function involving two goods that is linear of the form U =
ax+by.
a. Derive demand functions for x and y
b. Derive indirect utility functions
c. Derive the expenditure function for this utility function. Hint: The expenditure function
will have kinks at various price ratios.

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