U = U ( x 1, x2)  = (x1 + 2) 2 (x2 + 3) 3

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.8P
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If the utility function of an individual takes the form:

U = U ( x 1, x2)  = (x1 + 2) 2 (x2 + 3) 3

Where  U is total utility, and x1 and x2 are the quantities of two commoditiies consumed:

(a) Find the marginal-utility function of each of the two commodities

(b) Find the value of the marginal utility of the first commodity when 3 units of each   commodity are consumed.

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