2. Consider a monopolist rm potentially facing two markets. Market A has the following demand function: qA(p) = 192 while market B has the following demand function: 0 if p > % Suppose the monopolist has cost function 1 C = . (q) 29' To break indifference (i.e. tie-breaking assumption), assume that the rm will supply in the event that it earns zero prots. (a) Suppose the monopolist only faced market A. Find the optimal quantity, price and prot from selling to market A. (b.) Suppose the monopolist only faced market B. Find the optimal quantity, price and prot from selling to market B. (C.) Derive the aggregate demand function and then solve for the monopolist's optimal quantity, price and prot. [Hint- There are two potential solutions. One involves a price such that consumers from both markets buy the good, while in the other solution, only consumers from market A buys. Compare prots under these two possible prices to determine which is the optimal price. ]