Suppose the marginal product of labor in the economy is given by MPN = 200 - 0.5 N, while the supply of labor is 100 + 4w.(a)Find the market-clearing real wage rate.(b)What happens if the government imposes a minimum wage of 40? Is there involuntary unemployment?(c)What happens if the government imposes a minimum wage of 60? Is there involuntary unemployment?

What will be an ideal response?


(a)The market-clearing real wage rate equates the demand and supply of labor. Setting w = MPN 
= 200 - 0.5 N and solving for N gives N = 400 - 2w, which represents labor demand. Equating labor demand to labor supply gives 400 - 2w = 100 + 4w, or 300 = 6w, or w = 50.
(b)A minimum wage of 40 has no effect, as it is below the market wage, so involuntary 
unemployment is 0.
(c)A minimum wage of 60 is binding, as it is above the market wage. At w = 60, labor demand is 
400 - (2 × 60) = 280, while labor supply is 100 + (4 × 60) = 340. So unemployment is 60 workers.

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