If the firm produces 60 units of output what are profits or

Question

You have the follwoing information for a firm:

                                    TR = 200 Q – Q²              MR = 200 – 2 Q

                                    TC = 1000 - 8 Q + Q²        MC = - 8 + 2 Q

a. If the firm produces 60 units of output, what are profits or losses for this firm.

b. Is the firm maximizing profits producing Q = 60? If not, what is the profit maximizing level of output produced?

c. Prove that your answer to part b represents the profit msximixing output produced.

d. What are maximum profits?