Consider the following Bertrand competition model with cost asymmetries. Two chocolate bar manufacturers, Firm 1 and Firm 2, face a market of 100 people. Each of these 100 people has a maximum willingness to pay for one chocolate bar of $20, and each will buy at most one chocolate bar. Each consumer will buy from whichever firm charges the lowest price. If the two firms charge the same price, they will sell to half the market lie, to 50 people). Firm 1 has a constant marginal cost of production of c1 = 5, while firm 2 has a constant marginal cost of production of C2 = 7. Firms can only choose integer prices and will do so to maximize their expected profit. (a) If Firm 2 chooses a price of 8, what is Firm 1's best response? (If Firm1 has more than one best response, write the lowest price that constitute a best response) (b) If Firm 1 chooses a price of 8, what is Firm 2's best response? (If Firm 2 has more than one best response, write the lowest price that constitutes a best response) (c) If Firm 1 chooses a price of 4, what is Firm 2's best response? (If Firm 2 has more than one best response, write the lowest price that constitutes a best response) (d) This game has one Nash equilibrium in which both firms charge the same price. What price do they charge in this Nash equilibrium