Question 3: Monopoly.r pricing [7' marks; 3,2,2] Consider a monopolist which faces the following demand curves for its product in the export market A and the domestic market B. Inverse demand curve in the export market: 0;. = 360 2pA Inverse demand curve in the domestic market: 03 = 200 p3 where p. and Q. denote price and quantityr sold in market i where i = A, B. The monopolist's cost function is given in: C(Q} = (125$!2 where Q = DA + 03. Assume that resale between the two markets is not possible and the monopolist maximizes prots. (a) {3 marks} Find pp. and p3 that maximizes monopolist's prots. (h) {2 marks} Suppose home gouemment in country:r B imposes a restriction that the monopolist cannot sell more in the export market. That is: UASQB must hold. However. the monopolist can charge two different prices in countries A and E. Find the amount of output that monopolist sells in each oountry and the resulting price levels {which will be different for A and B} that maximizes the monopolist's joint prots lie, the sum of prots in the two countries}. (c) (2 marks) Suppose that the WTO prohibits price discrimination. That is, the monopolist cannot charge two different prices in A and B. Find the unique price that maximizes the monopolist's joint profits (i.e., the sum of profits in the two markets)