9. (10 points) The marginal cost of a monopolist's product is $100 per unit at each of two plants. The xed costs are 200 in administrative overhead and an additional 400 at each plant. Demand is OD = 600040P where OD is the total demand, so inverse demand is P = 150 - .025QD and MR = 150 - .DSQD. (a) Calculate the price and quantity that maximizes the firm's profits. What is the monopolist's prot at this price? (b) Calculate the elasticity of demand at the monopoly price and quantity. (c) Suppose that the monopolist is broken up into two rms. The industry would then be a two rm oligopoly (or duopoly). Explain why it is reasonable to expect each rm would charge less than the monopoly price after the breakup. You can use intuition for price competition or quantity competition (Bertrand or Cournot)