Note: There are may be other questions related to this one. It is strongly recommended that write down your answer to this question in case you need to use it later. Consider an one person, two good, one input economy. This is "Lea's Economy". Lea's utility function is U= x/b yl-1/b where b=4, x denotes her consumption of good X, and y denotes her consumption of good Y. The production function of good X is given by X = 15 Lx and the production of Y is given by Y = 2 Ly2, where Lx and Ly denote respectively the amount of labour used in the production of good X and in the production of good Y. The total amount of labour in the economy is 806. Is the general equilibrium in this economy efficient? Answer the question as follows: • If it is efficient, then derive and enter below the equilibrium price of good X, assuming that the equilibrium price of labour is equal to 1. • If it is not efficient, then derive and enter below the average cost of the sector which gets in the way of efficiency at 100 units of output, assuming that the equilibrium price of labour is equal to 1.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter3: Preferences And Utility
Section: Chapter Questions
Problem 3.9P
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Note: There are may be other questions related
to this one. It is strongly recommended that write
down your answer to this question in case you
need to use it later.
Consider an one person, two good, one input
economy. This is "Lea's Economy".
Lea's utility function is
U= x/b y1-1/b
where b=4, x denotes her consumption of good X,
and y denotes her consumption of good Y.
The production function of good X is given by X = 15
Lx and the production of Y is given by Y = 2 Ly2,
where Lx and Ly denote respectively the amount of
labour used in the production of good X and in the
production of good Y. The total amount of labour in
the economy is 806.
Is the general equilibrium in this economy efficient?
Answer the question as follows:
• If it is efficient, then derive and enter below the
equilibrium price of good X, assuming that the
equilibrium price of labour is equal to 1.
• If it is not efficient, then derive and enter below
the average cost of the sector which gets in the
way of efficiency at 100 units of output, assuming
that the equilibrium price of labour is equal to 1.
Answer:
Transcribed Image Text:Note: There are may be other questions related to this one. It is strongly recommended that write down your answer to this question in case you need to use it later. Consider an one person, two good, one input economy. This is "Lea's Economy". Lea's utility function is U= x/b y1-1/b where b=4, x denotes her consumption of good X, and y denotes her consumption of good Y. The production function of good X is given by X = 15 Lx and the production of Y is given by Y = 2 Ly2, where Lx and Ly denote respectively the amount of labour used in the production of good X and in the production of good Y. The total amount of labour in the economy is 806. Is the general equilibrium in this economy efficient? Answer the question as follows: • If it is efficient, then derive and enter below the equilibrium price of good X, assuming that the equilibrium price of labour is equal to 1. • If it is not efficient, then derive and enter below the average cost of the sector which gets in the way of efficiency at 100 units of output, assuming that the equilibrium price of labour is equal to 1. Answer:
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