Consider two consumers, each having income of $300 that can be used to purchase two goods: X and Y. The price per unit of X is $5, and the price per unit of Y is $4. Ms. A’s preferences can be described by the utility function: U = (X^2)Y and her marginal rate of substitution is given by MRS X,Y = 2Y/X. Mr. B’s preferences can be described by the utility function: U = X(Y+100) and his marginal rate of substitution is given by MRS X,Y = (Y+100)/X. Calculate the amounts of X and Y each of these consumers will purchase if each is trying to make her- or himself as well off as possible.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
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Chapter1: Making Economics Decisions
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1. Consider two consumers, each having income of $300 that can be used to purchase two goods: X and Y. The price per unit of X is $5, and the price per unit of Y is $4. Ms. A’s preferences can be described by the utility function: U = (X^2)Y and her marginal rate of substitution is given by MRS X,Y = 2Y/X. Mr. B’s preferences can be described by the utility function: U = X(Y+100) and his marginal rate of substitution is given by MRS X,Y = (Y+100)/X. Calculate the amounts of X and Y each of these consumers will purchase if each is trying to make her- or himself as well off as possible.
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