Assume that a consumer has a utility function of the following form: where x, = quantity of $5 bill and x, quantity of $1 bills. Note that $5 bills and S1 bills are perfect %3D !! substitutes. Solve for this consumer's indifference curve (IC) at u = 10 and u 20. Plot at least two points on each curve. Be sure to include the function that solves for each IC. 3pt What is the marginal rate of substitution of $1 bills for $5 bills (MRS,-x,) for each curve? Does it diminish with increases in x,? Explain why or why not. 3pt

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 3SQP
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1.
Assume that a consumer has a utility function of the following form:
u= X, +-X2
where x, = quantity of $5 bill and x, = quantity of $1 bills. Note that $5 bills and $1 bills are perfect
substitutes.
Solve for this consumer's indifference curve (IC) at u = 10 and u = 20. Plot at least two
%3D
points on each curve. Be sure to include the function that solves for each IC. 3pt
What is the marginal rate of substitution of $1 bills for $5 bills (MRS,→x,) for each
curve? Does it diminish with increases in x,? 3pt
%25 bills
X2
Explain wvhy or why not.
Transcribed Image Text:1. Assume that a consumer has a utility function of the following form: u= X, +-X2 where x, = quantity of $5 bill and x, = quantity of $1 bills. Note that $5 bills and $1 bills are perfect substitutes. Solve for this consumer's indifference curve (IC) at u = 10 and u = 20. Plot at least two %3D points on each curve. Be sure to include the function that solves for each IC. 3pt What is the marginal rate of substitution of $1 bills for $5 bills (MRS,→x,) for each curve? Does it diminish with increases in x,? 3pt %25 bills X2 Explain wvhy or why not.
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