Consider two commodities: toy cars and batteries. Each toy car takes three batteries to operate. Suppose Andy enjoys a toy car only if it moves and Andy has no other toy that needs battery. That is, one toy car and three batteries are a set of perfect complements to Andy. Task 1: Let x1 >= 0 be the quantity of toy cars and x2 >= 0 be the quantity of batteries. FindafunctionU(x1, x2)that representsthispreference. Task 2: Draw Andy's indifference curves going through bundles (2, 3), (4, 3) and (5, 5) in the commodity space in the same graph. How does Andy's preference order these 3 bundles in terms of> or ~? Task 3: What mathematical expression describes the line formed by all the corners of the indifference curves?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Consider two commodities: toy cars and batteries. Each toy car takes three batteries to operate. Suppose
Andy enjoys a toy car only if it moves and Andy has no other toy that needs battery. That is, one toy car
and three batteries are a set of perfect complements to Andy. Task 1: Let x1 >= 0 be the quantity of toy
cars and x2 >= 0 be the quantity of batteries. FindafunctionU(x1, x2)thatrepresentsthispreference. Task 2:
Draw Andy's indifference curves going through bundles (2, 3), (4, 3) and (5, 5) in the commodity space in
the same graph. How does Andy's preference order these 3 bundles in terms of > or ? Task 3: What
mathematical expression describes the line formed by all the corners of the indifference curves?
Transcribed Image Text:Consider two commodities: toy cars and batteries. Each toy car takes three batteries to operate. Suppose Andy enjoys a toy car only if it moves and Andy has no other toy that needs battery. That is, one toy car and three batteries are a set of perfect complements to Andy. Task 1: Let x1 >= 0 be the quantity of toy cars and x2 >= 0 be the quantity of batteries. FindafunctionU(x1, x2)thatrepresentsthispreference. Task 2: Draw Andy's indifference curves going through bundles (2, 3), (4, 3) and (5, 5) in the commodity space in the same graph. How does Andy's preference order these 3 bundles in terms of > or ? Task 3: What mathematical expression describes the line formed by all the corners of the indifference curves?
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