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The firm is a monopsonist in the labor market and a price taker in the output market. Labor demand is l = 12 (i.e. every work
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Answer #1

The wage rate is $12

Note that before the minimum wage, Labor demand is Ld = $12

Labor supply is L = w^0.5

Total cost = wL = w^1.5 or C = L^3

Marginal resource cost is MRC = 3L^2

Now Ld = MRC at monopsony's choice for labor unit

3L^2 = 12

L^2 = 4

L = 2 units

MRC = 3*2^2 = $12

Wage rate = w = L^0.5 = $2

Hence monopsony pays a wage of $2 before minimum wage

But when minimum wage is set at $12, monopsony also pays a wage rate of $12.

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