4. A profit-maximizing monopolist produces a good and sells it to three consumers, A, B and C. It has zero costs. The consumers have inverse demand curves given by PA = 10 - 9A, PB 12 29B, 1 Pc = 4- 29c. (1) (2) (3) a) If consumer B had been the only consumer and the monopolist had to set a single, uniform price for its product, what price would it choose and how many units would it sell? What would be the socially efficient price and quantity? The monopolist has decided to price its good using a two part tariff. It knows that it has three consumers, and it knows exactly what the demand curve is for each one. b) Say that the monopolist could tell the consumers apart and set a personalized two part tariff for each of them. What two part tariff would it set for each consumer? c) Say that the monopolist cannot tell the three consumers apart and has to set just a single two part tariff that all three consumers can then decide whether or not to pay. What two part tariff would it set? Explain your answer.