Consider a monopolistic manufacturer with marginal cost MC = 10.

2. [12 points total] Consider a monopolistic manufacturer with marginal cost MC = 10. Inverse-demand in this market is given by p"(Q) = 110 - 2Q. Any retailer operating in this market has marginal cost equal to the wholesale price, and no fixed costs. You may assume that there are no advertising externalities, etc. with multiple retailers. (a) [2 points] Suppose that the (monopolistic) manufacturer sells directly to consumers. What price and quantity does it set? What is its profit? (b) [2 points] Now suppose that the manufacturer sells to a retailer, who then acts as a monopolist in selling to consumers. The manufacturer is a price setter in its trade with the retailer and is restricted to charging a per-unit wholesale price (with no fixed fee). Taking into account the retailer's actions, what is the wholesaler's inverse-demand curve, w(Q)? (c) [4 points] What wholesale price, retail price, and quantity are ultimately set when the retailer is present? (d) [4 points] Suppose that a second retailer enters, and that there is now Bertrand competition between the retailers. The manufacturer is still re- stricted to charging a per-unit wholesale price (with no fixed fee). Qualita- tively, how do manufacturer profits compare to the case where the manufac turer sells directly to consumers? (L.e., are they higher, lower, or unchanged?)