The weekly cost functions of Jack’s Auto Repair Shop, the only repair shop in town, are as follows:

TC = 3200 + 50 Q + 0.04 Q^2

MC = 50 + 0.08 Q

Jack has estimated the demand curve for his services to be: Qd = 1000 – 5 P

Where Q is the average number of cars the shop repairs and P represents the average repair price he charges.

A. Determine the revenue-maximizing number of cars for Jack’s shop.

B. Determine the profit-maximizing number of cars for Jack’s shop.

C. If Jack were to minimize his average cost, how many cars per week should he repair?

D. What is his average cost at the profit-maximizing number of cars?