2. Consider an industry served by a single rm which faces the following inverse demand curve: P{Q}=ahQ; aha-I]. The firm's technology is characterized by the following cost function: C{Q} = cQ. a. Prove that this monopoly will always produce on the elastic portion of its demand curve. b. Show that the result in part (a] holds for any nonincreasing inverse demand function P[Q] and any non-negative cost funch'on C{Q]