Consider the following monopolists that face nonlinear demand functions.
(a) Suppose a monopolist faces a demand curve of Q= e^100-p, and has costs C(Q) = 4Q x In (Q). Solve for equilibrium quantity and price.
(b) Suppose a monopolist faces an inverse demand curve of P = A-Q^V, and a cost function C(Q) = Q^V+1. Solve for equilibrium quantity and price, as a function of A and v.