. 4. Game Theory: Two competing firms must simultaneously determine how much of a product to produce. Profit earned by a firm means loss to other firm. Here is the conditions between two firms: If firm l's production level is low and firm 2's is also low, then firm 1 earns a profit of $300 If firm l's level is low and 2's is high, then firm l's loss is $200 If firm l's production level is high and so is firm 2's, then firm l's profit is $200 If firm l's level is high while firm 2's level is low, then firm l's loss is only $100 Questions: a. Construct a payoff matrix for this zero-sum game b. Find the value and optimal strategies for each firms