Let x be eggs and y be bagels. An individual utility function is given by U(x, y) = ½ x + 1 y. This individual budget constraint is 4 = 2 x + 1 y.  At the point at which this individual maximizes her utility level she buys how many unit(s) of x and how many unit(s) of y?

Micro Economics For Today
10th Edition
ISBN:9781337613064
Author:Tucker, Irvin B.
Publisher:Tucker, Irvin B.
Chapter6: Consumer Choice Theory
Section: Chapter Questions
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Let x be eggs and y be bagels. An individual utility function is given by U(x, y) = ½ x + 1 y. This individual budget constraint is 4 = 2 x + 1 y.  At the point at which this individual maximizes her utility level she buys how many unit(s) of x and how many unit(s) of y?

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Step 1: Describe the problem

Given utility function 

U left parenthesis x comma y right parenthesis space equals space 1 half x plus 1 y   .......... (1)

Equation of budget constraint: 2 x plus 1 y space equals space 4 

We have to find consumption bundle which maximizes the total utility subject to budget constraint. 

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