Consider a monopoly which can produce any level of output it wishes at a constant marginal (and average) cost of$5per unit. Assume that the monopoly sells its products in two different markets separated by some distance. Suppose that transportation costs are too high, making resales between the two markets impossible. The inverse demand function for the first market is given by

P1=55Q1,

and the inverse demand function for the second market is given by

P2=350.5Q2.

1. (a)If the monopolist can maintain the separation between the two markets, how many units of the output should be sold in each market? What price will prevail in each market? What is the total monopolistic profit in this situation?
2. (b)Illustrate your findings in part (a) on suitable diagrams with necessary detail