Q1. Let X be a public good and Y be a private good. Two individuals, A and B, derive utility from the consumption of X and Y according to the following quasi-linear preferences: U (X,Y)=DaX+Y and U" (X,Y)= BX2 +Y, where a + Band both a and B are greater than one. If the marginal rate of transformation between X and Y is C, find X.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.10P
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Q1. Let X be a public good and Y be a private good. Two individuals, A and B, derive utility from the
consumption of X and Y according to the following quasi-linear preferences: U"(X,Y)=aX +Y and
U* (X,Y)= BX +Y, where a + B and both a and ß are greater than one. If the marginal rate of
transformation between X and Y is C, find X.
Transcribed Image Text:Q1. Let X be a public good and Y be a private good. Two individuals, A and B, derive utility from the consumption of X and Y according to the following quasi-linear preferences: U"(X,Y)=aX +Y and U* (X,Y)= BX +Y, where a + B and both a and ß are greater than one. If the marginal rate of transformation between X and Y is C, find X.
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