Good X costs $8 and good Y costs $4 per unit. His utility function is U = 4.5XY. (a) Calculate Moe's utility-maximizing purchases of X and Y. (b) Calculate Moe's constrained utility- maximum if his income decreases by $200?

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter5: Consumer Choice: Individual And Market Demand
Section: Chapter Questions
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Moe's income is $320 per week and
he spends it on two goods, X and Y.
Good X costs $8 and good Y costs
$4 per unit. His utility function is U =
4.5XY.
(a) Calculate Moe's utility-maximizing
purchases of X and Y.
(b) Calculate Moe's constrained utility-
maximum if his income decreases by $2.00?
(c) If the price of Y doubles, with no
change in the price of X, by how
much would his income have to
increase to enable him to maintain
his initial level of utility (as in part (a)
above)?
Transcribed Image Text:Moe's income is $320 per week and he spends it on two goods, X and Y. Good X costs $8 and good Y costs $4 per unit. His utility function is U = 4.5XY. (a) Calculate Moe's utility-maximizing purchases of X and Y. (b) Calculate Moe's constrained utility- maximum if his income decreases by $2.00? (c) If the price of Y doubles, with no change in the price of X, by how much would his income have to increase to enable him to maintain his initial level of utility (as in part (a) above)?
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