5. Two firms compete in a market and they need to decide how much to produce. The following is common knowledge: . if each firm limits production to 1,000 units, the maximum joint profit is attained. The profit for each firm will be $100,000. 2 . if a firm produces 2,000 units while the other one produces 1,000 units, the former makes a profit of $150,000 and the latter makes a loss of $50,000. . if both firms produce 2,000 units each, they both make zero economic profit. Answer the following questions. a) Construct the payoff matrix for the game played by these firms. b) Determine the Nash equilibrium for this game. Is the outcome socially efficient? Explain