In the market for sports beverages, a representative firm has total costs of UN) 2 9 + 6g + Q2, meaning marginal costs of M C (q) = 6 + 2Q. Market demand for sports beverages is given by Q : 75 13/2. (a) If there is a single-firm in the market, What will the price and quantity of sports beverages be? (b) Now let a sports beverage firm with the above cost function be a price-taker. Solve for and sketch the firm's individual supply curve - that is, quantity q as a function of price P , graphed with q on the m axis and P on the y axis - in this market. (c) Suppose that there is a competitive market, with free entry of identical sports beverage firms that all have the cost function C(q) above. All such firms are pricetakers in this market, and the market price is determined by supply and demand. i. Solve for and sketch the (longrun) market supply curve. ii. What will the market price and quantity of sports beverages be? How many firms Will be in the market, and how much will each one produce