Nobody fixes more fender benders than Crazy Bob! At his auto body shop, the production function showing the number of cars repaired each year is Q = 100√KL, where K is the number of arc welding machines available and L is the number of employees. Currently, K is fixed at 9.

a. Write an equation for Crazy Bob’s short-run production function, showing output as a function of labor only.

b. Calculate the total number of cars Bob can repair each year for L = 1, 2, 3, 4, and 5.

c. Calculate the marginal product of labor for each of Bob’s first five workers. Does the MP_L diminish?

d. Calculate the average product of labor for Bob’s first five workers. Is the MP_L greater than, equal to, or less than the AP_L at each level of employment? Why?