pls show work: 3. Assume a firm has a cost function c(q) = 5q²+100q and faces a market demand curve P = 1000-5Qd. a. If this firm is the only firm operating in the market and is able to set their price, calculate the firm's profit maximizing quantity and price. b. Graph the equilibrium you solved for in part a. You must include a demand curve, marginal cost, marginal revenue, and average total cost. Clearly indicate the monopolist's profit box. (Be sure to label everything for full credit)
