|liltuelstilrln 3: Monopoly [7 marks; 3,2,2] Suppose a monopoly dmg manufacturer faces the following inverse demand curves for its product in two dii'terent countries 1 and 2. Inverse demand curve in country 1: p1 = 2m Q1 Inverse demand curve in country 2: p2 = 130 ESQ: where pi and Eli denote price and q:|uant'rtj,..r sold in country i respectively and i = 1, 2. The monopolist's costfunction is given by DIG} = D2532 where Q = Eli + I212. Assume that resale between the countries is not possible and the monopolist maximizes prots. {a} {3 marks} Find p1 and p2 that maximizes monopolist's prots. \f(c) (2 marks) Suppose there are no capacity constraints, but unlike in parts (a) and (b), price discrimination is not allowed. That is, the monopolist cannot charge two different prices in countries 1 and 2. Find the unique price that maximizes monopolist's joint profits (i.e., the sum of profits in the two countries)