2. (24 pts) A monopolist serves two separate markets and has the long run cost function of C(Q) = - O' where O = q, + 92 . The firm can distinguish between consumers in the two markets. Inverse demand in the first market is equal to PP (91 ) = 120- 91 . Inverse demand in the second market is equal to P2 (92 ) = 60 -92 . The monopolist can charge different prices in each market. a. Assuming no shut down, find the monopolist's profit maximizing prices and quantities in these two markets. Show your work. b. Suppose the government forces the monopolist to charge the same price in each market. Will the monopolist's profit increase or decrease? Will consumer surplus in the first market increase or decrease? Will consumer surplus in the second market increase or decrease? Clearly demonstrate your logic