Assume that John’s utility function can be written as U(x,y) = quantities of two different goods. x + y, where x and y represent (a) What are the demand functions for x and y? Suppose that initially income is m=38, the price of x is px =1, and the price of y is py =4.Then px increases to 4. (b) Calculate the income and substitution effects for the price increase using the Slutsky decomposition (for both goods).\

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
Problem 6.8P
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Assume that John’s utility function can be written as U(x,y) = quantities of two different goods.

x + y, where x and y represent

  1. (a) What are the demand functions for x and y? Suppose that initially income is m=38, the price of x is px =1, and the price of y is py =4.Then px increases to 4.

  2. (b) Calculate the income and substitution effects for the price increase using the Slutsky decomposition (for both goods).\

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