(b) Prot M aximz'satz'on i. ii. Consider the prot function: 7r = 100 + 80A 0.11412 + 1003 0.2132 which relates to two products A and B made by the rm. A. Choose output of A and B that maximises prot and show this is a maximum. B. What are the expected prots for the rm? A rms total cost functions for its two plants (both producing the same single product) are: 01 = 3q12+2q1 +6 02 = 2q22+2q2+4 where ql and q2 are the outputs at the respective plants. The rms average revenue function is: AR=746q where q = q1 + 12 and p is the price of the product. If prots are to be maximised: A. How much should be produced in each plant? Show these are prot maxima. B. What will prots be under these quantities