A monopolist faces inverse demand p(Q) = 22 - 2Q and has total cost function TC(Q) 2Q. = a. Calculate the equilibrium price, quantity, consumer surplus, and producer surplus if the monopolist must charge all consumers the same price. b. Suppose instead that the monopolist can perfectly price discriminate among consumers. What are the price, quantity, consumer surplus, and producer surplus now? c. Alternatively, the monopolist decides to charge a two-part tariff. What lump sum fee and price per unit should the monopolist charge if consumers are homogeneous?