Suppose that a firm’s short-run production is Q = 2L + 0.4L2 − 0.002L3 , where Q is units of output and L is labor hours.

a. Graph the production function for values L = 0 to L = 200.

b. What is the firm’s marginal product of labor equation? Graph the marginal product of labor equation for values L = 0 to L = 200.

c. What is the firm’s average product of labor equation? Graph the average product of labor equation for values L = 0 to L = 200.

d. Does this production function exhibit constant, increasing, or decreasing returns to scales when labor usage is increased from L = 2 to L = 4?