Suppose that i's preferences over goods x and y are represented by the following utility function U₁(x,y)=x4¹5¹5. Let m denote the consumer's income, p denote the price of good x and let the price of good y equal 1. A) Find the Marshallian demand functions for goods x and y. B) Show how each of the demand function is affected by a change in the price of good x.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter5: Income And Substitution Effects
Section: Chapter Questions
Problem 5.5P
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Suppose that i's preferences over goods x and y are represented by the
following utility function U₁(x, y)=x45¹5. Let m denote the consumer's
income, p denote the price of good x and let the price of good y equal 1.
A) Find the Marshallian demand functions for goods x and y.
B) Show how each of the demand function is affected by a change in the
price of good x.
C) Which of the goods is an inferior good?
Transcribed Image Text:Suppose that i's preferences over goods x and y are represented by the following utility function U₁(x, y)=x45¹5. Let m denote the consumer's income, p denote the price of good x and let the price of good y equal 1. A) Find the Marshallian demand functions for goods x and y. B) Show how each of the demand function is affected by a change in the price of good x. C) Which of the goods is an inferior good?
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