A monopolist faces a demand curve given by Q = 70-P. The monopolistis marginal revenue function is given by M R = 70-20. a. If the monopolist can produce at constant average and marginal costs of AC = MC = 6, what output level will the monopolist choose in order to maximize profits? What is the price at this output level? What are the monopolistis profits? b. Assume instead that the monopolist has a cost structure where total costs are described by TC= 25Q^2-5Q +300 and marginal cost is given by MC=.5Q- 5. With monopolist facing the same market demand and marginal revenue, what price-quantity combination will be chosen now to maximize proots? What will proOts be