1. Think about a utility function U(x,y) =xy, the budget constraint is px*x +py*y= m.  A. Please derive the expenditure function. If originally m = 8, px=1, py=4. Now px has increased to 2. B. Based on (A), after the price change, how much should be compensated to maintain his original utility level?

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter7: Consumer Choice: Maximizing Utility And Behavioral Economics
Section: Chapter Questions
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1. Think about a utility function U(x,y) =xy, the budget constraint is px*x +py*y= m. 

A. Please derive the expenditure function.

If originally m = 8, px=1, py=4.

Now px has increased to 2.

B. Based on (A), after the price change, how much should be compensated to maintain his original utility level?

C. Use the Shaphard's Lemma to derive the Hicksian demand functions.

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