Suppose there are two consumers, A and B. There are two goods, X and Y. There is a TOTAL of 8 units of X and a TOTAL of 8 units of Y. The consumers' utility functions are given by: UA(X,Y) = 2X + Y UB(X,Y) = X*Y² Which of the following allocations is Pareto Efficient? None of the other answers are Pareto Efficient. Consumer A gets 3 units of X and 8 units of Y, and Consumer B gets 5 units of X and O units of Y. Consumer A gets 4 units of X and 4 units of Y, and Consumer B gets 4 units of X and 4 units of Y. Consumer A gets 1 units of X and 4 units of Y, and Consumer B gets 7 units of X and 4 units of Y. Consumer A gets 8 units of X and 8 units of Y, and Consumer B gets 0 units of X and O units of Y.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter6: Demand Relationships Among Goods
Section: Chapter Questions
Problem 6.9P
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Suppose there are two consumers, A and B. There are two goods, X and Y.
There is a TOTAL of 8 units of X and a TOTAL of 8 units of Y. The
consumers' utility functions are given by:
UA(X,Y) = 2X + Y
UB(X,Y) = X*Y2
Which of the following allocations is Pareto Efficient?
None of the other answers are Pareto Efficient.
Consumer A gets 3 units of X and 8 units of Y, and Consumer B gets 5 units of X
and O units of Y.
Consumer A gets 4 units of X and 4 units of Y, and Consumer B gets 4 units of X
and 4 units of Y.
Consumer A gets 1 units of X and 4 units of Y, and Consumer B gets 7 units of X
and 4 units of Y.
Consumer A gets 8 units of X and 8 units of Y, and Consumer B gets 0 units of X
and O units of Y.
Transcribed Image Text:Suppose there are two consumers, A and B. There are two goods, X and Y. There is a TOTAL of 8 units of X and a TOTAL of 8 units of Y. The consumers' utility functions are given by: UA(X,Y) = 2X + Y UB(X,Y) = X*Y2 Which of the following allocations is Pareto Efficient? None of the other answers are Pareto Efficient. Consumer A gets 3 units of X and 8 units of Y, and Consumer B gets 5 units of X and O units of Y. Consumer A gets 4 units of X and 4 units of Y, and Consumer B gets 4 units of X and 4 units of Y. Consumer A gets 1 units of X and 4 units of Y, and Consumer B gets 7 units of X and 4 units of Y. Consumer A gets 8 units of X and 8 units of Y, and Consumer B gets 0 units of X and O units of Y.
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