Problem
Suppose that a firm's production function is Q = F(L) = L3 - 200L2 + 10,000L. Its marginal product of labor is MPL = 3L2- 400L + 10,000. At what amount of labor input are the firm's average and marginal product of labor equal? Confirm that the average and marginal product curves satisfy the relationship discussed in the text.
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.