Suppose a monopoly producer is also a monopsonist in the labor market. Demand for the output is p = 100 - Q. The production function is Q = L, and the labor supply curve is w = 10 + L. How much labor does the firm hire? What wage is paid?
What will be an ideal response?
The firm's marginal revenue product of labor is MRP = 100 - 2L. Marginal expenditure is
10 + 2L. Setting them equal yields 10 + 2L = 100 - 2L or L = 90/4 = 22.5 units of labor, for which the firm will pay a wage of (10 + L) = 32.5.
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