1.Suppose that Chris's utility function is given by UC=QC1/2 RC1/2 , where QC and RC are his consumption of Q and R, respectively. Dana's utility function is given by UD=QD1/3 RD2/3, where QD and RD are her consumption of Q and R, respectively. Write an equation for the marginal rate of substitution (MRS) between Q and R for each of the two agents.

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section6.A: Indifference Curve Analysis
Problem 1SQP
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1.Suppose that Chris's utility function is given by UC=QC1/2 RC1/2 , where QC and Rare his consumption of Q and R, respectively. Dana's utility function is given by UD=QD1/3 RD2/3, where QD and Rare her consumption of Q and R, respectively.

Write an equation for the marginal rate of substitution (MRS) between Q and R for each of the two agents.

2.Suppose that the price of good R is pR=1 and the price of good Q is pQ=2.

How much is Chris's and Dana's initial income, given his endowments and given these prices?

3.

At these prices, how many units of Q would Chris and Dana want to consume?

4.

At these prices, how many units of R would Chris and Dana want to consume?

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