Assume a monopsony uses only one factor, i.e. labor, L, to produce a final good, Q, which is sold in a competitive market at the price p = 1 to maximise profits. The production function of the monopsonist is given by Q(L) = 100L — L². The inverse supply curve for labor is w(L) = 20 + 2 L. c. Describe algebraically and graphically what the welfare effects would be of the introduction of a minimum wage set at the competitive level. Would it improve welfare if the minimum wage were set above the competitive wage? Support your answer with a graph and economic intuition.

Microeconomic Theory
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ISBN:9781337517942
Author:NICHOLSON
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Chapter16: Labor Markets
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Problem 16.5P
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Assume a monopsony uses only one factor, i.e. labor, L, to produce a final good, Q, which is sold
in a competitive market at the price p = 1 to maximise profits. The production function of the
monopsonist is given by Q (L) = 100L — L². The inverse supply curve for labor is w(L) =
2
20 + 2 L.
c. Describe algebraically and graphically what the welfare effects would be of the
introduction of a minimum wage set at the competitive level. Would it improve welfare if
the minimum wage were set above the competitive wage? Support your answer with a
graph and economic intuition.
Transcribed Image Text:Assume a monopsony uses only one factor, i.e. labor, L, to produce a final good, Q, which is sold in a competitive market at the price p = 1 to maximise profits. The production function of the monopsonist is given by Q (L) = 100L — L². The inverse supply curve for labor is w(L) = 2 20 + 2 L. c. Describe algebraically and graphically what the welfare effects would be of the introduction of a minimum wage set at the competitive level. Would it improve welfare if the minimum wage were set above the competitive wage? Support your answer with a graph and economic intuition.
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