Suppose that a consumer has the utility function U(X,Y)=2x1/2 y 1/2 for X>0 and Y>0. Which of the following utility functions would not represent the same preferences? O U(X,Y)=2(x + y)1/2 O U(X,Y)= 2X 1/2 y 1/2 - 100 O U(X,Y)= In 2 + InX+ In Y O U(X,Y)= X1/2y 1/2 OU(X,Y)= 4XY

Suppose that a consumer has the utility function U(X,Y)=2x1/2 y 1/2 for X>0 and Y>0. Which of the following utility functions would not represent the same preferences? O U(X,Y)=2(x + y)1/2 O U(X,Y)= 2X 1/2 y 1/2 - 100 O U(X,Y)= In 2 + InX+ In Y O U(X,Y)= X1/2y 1/2 OU(X,Y)= 4XY

ENGR.ECONOMIC ANALYSIS

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ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

Suppose that a consumer has the utility function U(X,Y)= 2X 1/2 y 1/2 for X>0 and Y> 0. Which of the following utility functions would not represent the same preferences?
U(X,Y)= 2(X + Y) 1/2
U(X,Y)=2x1/2y 1/2 - 100
O U(X,Y)= In 2 + InX+ In Y
O U(X,Y)= X 1/2 y 1/2
O U(X, Y) = 4XY

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