Q9. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F. Suppose as Case X, Total income is $100 and per unit prices of Food (F) and Cloth (C) are $2 and $15, respectively. a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e (F*,C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space.
Q9. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F. Suppose as Case X, Total income is $100 and per unit prices of Food (F) and Cloth (C) are $2 and $15, respectively. a. What is the value of MRS at the optimal point and what does this value mean? b. What is the optimal consumption bundle i.e (F*,C*)? c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space.
Microeconomics A Contemporary Intro
10th Edition
ISBN:9781285635101
Author:MCEACHERN
Publisher:MCEACHERN
Chapter6: Consumer Choice And Demand
Section: Chapter Questions
Problem 6QFR
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Q9. Consider a utility function: U (F,C) = FC so MU_F = C and MU_C = F.
Suppose as Case X, Total income is $100 and per unit prices of Food (F) and Cloth (C) are $2 and $15, respectively.
a. What is the value of MRS at the optimal point and what does this value mean?
b. What is the optimal consumption bundle i.e (F*,C*)?
c. Plot the budget line and clearly depict the point of optimality in the F (x-axis)-C (y-axis) space.
d. Now assume a new Case Y, Pc' = $10, holding all else the same, do the same analysis (parts a-c) and contrast your answers to Case X. For part c, you should draw old (Case X) and new (Case Y) budget lines/point of optimality.
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