u(x,y)=x·y2(MUx =y2,MUy =2x·y) Prove that the consumer is indifferent between the consumption bundles (1,4) or (4,2). What is the formula for the consumer’s MRS? What is the slope of the consumer’s indifference curve at the bundle (2,4)?
u(x,y)=x·y2(MUx =y2,MUy =2x·y) Prove that the consumer is indifferent between the consumption bundles (1,4) or (4,2). What is the formula for the consumer’s MRS? What is the slope of the consumer’s indifference curve at the bundle (2,4)?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
u(x,y)=x·y2(MUx =y2,MUy =2x·y)
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Prove that the consumer is indifferent between the consumption bundles (1,4) or (4,2).
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What is the formula for the consumer’s MRS?
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What is the slope of the consumer’s indifference curve at the bundle (2,4)?
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State the two conditions that determine an interior solution to the consumer’s utility maximization problem.
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Assuming the consumer has income I = $90 and faces prices px = $1 and py = $2, show that each of the following consumption bundles satisfies one of the conditions in part d but not the other, and hence is NOT a solution to the consumer’s problem:
i. (60,15) ii. (20,20) iii. (40,40)
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