The demand a monopolist faces is D(p) = 120p and the firm's total cost is c(q) = 10+20q.

(a) Compute the profit maximizing price and quantity, assuming that the monopolist charges a uniform price.

(b) Compute consumers' surplus and the monopolist's profit at the optimal uniform price.

(c) Assume now that the monopolist charges a two-tier price. Compute consumers' surplus and the monopolist's profit at the optimal two-tier price.