A. A monopolist with constant average and marginal cost equal to 8 (AC=MC=8) faces demand Qd=100 - P, implying that its marginal revenue MR=100-2Q. Its profit maximizing quantity is ?

B. A monopolist has total cost TC = Q² + 10Q + 100 and marginal cost MC = 2Q + 10. It faces demand Q = 130- P (so its marginal revenue is MR = 130 - 2Q). Its profit-maximizing output is

C. A lake supports a delicious variety of fish.The land around the lake is owned by two fisherman, so by state law both are free to fish as much as they like.Let F_A and F_B be the number of fish each catches, respectively.Suppose the price of fish is 100 - F_A - F_B.Given this demand curve, it turns out that marginal revenue is 100 - 2F_A - F_B for fisherman A and 100 - F_A - 2F_B for fisherman B.What is the market price for fish in the Nash equilibrium?

4. A monopolist has a total cost TC=.1Q^2 -2Q+100. and marginal cost MC=.2Q-2. Market demand is Q=86-P, implying that the firms marginal revenue is MR=86-2Q. Its profit maximizing output is

5. A monopolist can sell 300 units of output for $45 per unit. Alternatively, it can sell 301 units for $44.60 per unit. The marginal revenue of the 301st unit of output is