Microeconomics 2nd Edition by Douglas Bernheim

Exercise 6

Suppose that a firm's production function is Q = F ( L ) = L 3 -200 L 2 + 10,000 L. Its marginal product of labor is MP L = 3 L 2 - 400 L + 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.