Microeconomics A Contemporary Intro
10th Edition
ISBN: 9781285635101
Author: MCEACHERN
Publisher: Cengage
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Transcribed Image Text:The Calculus of Utility Maximization and Expenditure Minimization — End of Appendix Problem
Suppose that there are two goods, X and Y. The price of X is $2 per unit, and the price of Y is $1 per unit. There are two
consumers, A and B. The utility functions for the consumers are
UA(X,Y) = X 0.5y0.5
UB(X,Y) =X0.8y0.2
Consumer A has an income of $100, and Consumer B has an income of $300.
Solve for the optimal bundles of goods X and Y for both consumers A and B.
a. The optimal bundle for consumer A is
b. The optimal bundle for consumer B is
c. Calculate the marginal rate of substitution (MRS) for each consumer at his or her optimal bundles.
Consumer A's MRS:
Consumer B's MRS:
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