There are two firms in the economy. Each firm employs positive amounts of capital and labour. The technology satisfies diminishing marginal rate of technical substitution of labour for capital. Currently, A’s marginal rate of technical substitution of labour for capital is 4 while B’s marginal rate of technical substitution of labour for capital is 2. A. Is the current production of the two firms efficient? If not, describe an exchange of inputs that would improve efficiency. B. Can these production levels of the two firms be observed in a perfectly competitive equilibrium of a production and exchange economy? Explain.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter13: General Equilibrium And Welfare
Section: Chapter Questions
Problem 13.3P
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There are two firms in the economy. Each firm employs positive amounts of capital and labour. The technology satisfies diminishing marginal rate of technical substitution of labour for capital. Currently, A’s marginal rate of technical substitution of labour for capital is 4 while B’s marginal rate of technical substitution of labour for capital is 2.

A. Is the current production of the two firms efficient? If not, describe an exchange of inputs that would improve efficiency.

B. Can these production levels of the two firms be observed in a perfectly competitive equilibrium of a production and exchange economy? Explain. 

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