A monopolist sells in two markets. The demand curve for her product is given by p1 = 120 - y1 in the first market; and p2 = 105 - 2 in the second market, where y is the quantity sold in market i and pi is the price charged in market i. She has a constant marginal cost of production, c = 10, and no fixed costs. She can charge different prices in the two markets. 1) Suppose the monopolist charges different prices in different markets. What type of price discrimination is this monopolist using? (1p) 2) Now, suppose the monopolist must charge the same price in both markets. (a) Calculate the aggregate (total) demand. (3p) (b) Write down the total profit function of the firm. (2p) (c) Calculate the profit maximizing price p, total quantity y, and quantities yl and y2 to be produced in market 1 and 2, respectively. (4p) 3) Suppose the first market whose demand is p1 = 120 - y1, was perfectly competitive, (hence, several firms can provide the same product) where each firm had a marginal cost of $10. What would be the price and total quantity in this perfectly competitive market? (Give numerical values for this price and total quantity). (2p)