A monopoly firm's total cost function is C = 3Q ^2 , where Q is the quantity of output produced by the firm. The firm's demand function is Q = 10 - 0.5p, where p is price, and Q is the quantity of the good demanded by consumers.

(i) Find the monopoly firm's profit-maximizing quantity and price. As a hint, first express profits () as a function of quantity, so that = (Q).

(ii) Calculate the monopoly firm's profit-maximizing level of profits.