If the utility function of an individual takes the form: U=U (x, y) = (3x+4)2 (2y + 5) where U is total utility and x and y are the quantities of the two units consumed, a. Find the marginal utility function of each of the two commodities via partial differentiation. b. Find the value of the marginal utility of the second commodity when 2 units of each commodity are consumed.

Microeconomics
13th Edition
ISBN:9781337617406
Author:Roger A. Arnold
Publisher:Roger A. Arnold
Chapter7: Consumer Choice: Maximizing Utility And Behavioral Economics
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Ab 16 

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8. If the utility function of an individual takes the form:
U=U (x, y) = (3x+4)² (2y + 5) where U is total utility and x and y are the quantities of
the two units consumed,
a. Find the marginal utility function of each of the two commodities via partial
differentiation.
b.
Find the value of the marginal utility of the second commodity when 2 units of each
commodity are consumed.
Transcribed Image Text:8. If the utility function of an individual takes the form: U=U (x, y) = (3x+4)² (2y + 5) where U is total utility and x and y are the quantities of the two units consumed, a. Find the marginal utility function of each of the two commodities via partial differentiation. b. Find the value of the marginal utility of the second commodity when 2 units of each commodity are consumed.
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