2. Let two consumers have preferences described by the utility function: U* =log(x",)+log(x"2), h=1,2 and the endowments described below: Good 1 Good 2 Consumer 1 3 2 Consumer 2 2 3. a. Draw the Edgeworth box for the economy and the initial endowment of consumers 1 and 2. b. Suppose good 1 has a prize p1 and good 2 has a price of $1 (called the nummeraire). Write down the budget constraint for both consumers. c. Calculate the consumers' demand functions. d. Find the price of good 1. Then, find the equilibrium levels of consumption.

ENGR.ECONOMIC ANALYSIS
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Author:NEWNAN
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Chapter1: Making Economics Decisions
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2. Let two consumers have preferences described by the utility function:
U =log(x",)+log(x"2), h=1,2
and the endowments described below:
Good 1 Good 2
Consumer 1
3
2
Consumer 2
2
3
a. Draw the Edgeworth box for the economy and the initial endowment of consumers 1
and 2.
b. Suppose good 1 has a prize p, and good 2 has a price of $1 (called the nummeraire).
Write down the budget constraint for both consumers.
C. Calculate the consumers' demand functions.
d. Find the price of good 1. Then, find the equilibrium levels of consumption.
Transcribed Image Text:2. Let two consumers have preferences described by the utility function: U =log(x",)+log(x"2), h=1,2 and the endowments described below: Good 1 Good 2 Consumer 1 3 2 Consumer 2 2 3 a. Draw the Edgeworth box for the economy and the initial endowment of consumers 1 and 2. b. Suppose good 1 has a prize p, and good 2 has a price of $1 (called the nummeraire). Write down the budget constraint for both consumers. C. Calculate the consumers' demand functions. d. Find the price of good 1. Then, find the equilibrium levels of consumption.
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