a. Find the consumer's Hicksian (compensated) and Marshallian (uncompensated) demand functions. b. If M = 100, P = 1 and P = 1, what quantities of X and Y does the consumer buy, and what is his resulting utility c. Now the price of apple rises to P = 1.1, while income and the price of banana are the same as before. What quantities (X and Y) does the consumer buy and what is his resulting utility?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.4P
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Question 4
There are two goods, apple and banana, whose quantities are denoted by X and Y and prices by P
and P, respectively. There is a consumer whose income is denoted by M and utility by U. His
expenditure function is known to be:
M = M(P,, Py,U) = P,P,U
a. Find the consumer's Hicksian (compensated) and Marshallian (uncompensated) demand
functions.
b. If M = 100, Px
what is his resulting utility
c. Now the price of apple rises to Px
as before. What quantities (X and Y) does the consumer buy and what is his resulting
utility?
1 and P = 1, what quantities of X and Y does the consumer buy, and
%3|
1.1, while income and the price of banana are the same
Transcribed Image Text:Question 4 There are two goods, apple and banana, whose quantities are denoted by X and Y and prices by P and P, respectively. There is a consumer whose income is denoted by M and utility by U. His expenditure function is known to be: M = M(P,, Py,U) = P,P,U a. Find the consumer's Hicksian (compensated) and Marshallian (uncompensated) demand functions. b. If M = 100, Px what is his resulting utility c. Now the price of apple rises to Px as before. What quantities (X and Y) does the consumer buy and what is his resulting utility? 1 and P = 1, what quantities of X and Y does the consumer buy, and %3| 1.1, while income and the price of banana are the same
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