Consider the following variant of the Cournot Model: Two firms simultaneously choose how much to produce and sell on the market. The inverse demand is given by P(Q) = 120 -2Q. Firm 1's costs are given by C(q1) = 891 and firm 2's costs are given by C(q2) = 12q2. a. Find the Nash Equilibrium prices and quantities of this game. (10 pts) b. Suppose that Firm 3 enters this market and firm 3's costs are C(q3) = 16q3. What are the new Nash Equilibrium prices and quantities? (10 pts)