Consider a market with 3 firms competing as oligopoly producers. Each faces the same market demand function for the products they sell: Q=1,000−40P The 3 firms use similar but slightly different technologies and therefore have different cost functions given by: Firm 1: TC1​=4,000+5Q Firm 2: TC2​=3,000+7Q Firm 3: TC3​=3,000+5Q a. What price should each firm charge if it wants to maximize its profit (or minimize its losses)? b. Explain why the answer to part a indicates that two firms should charge the same price while the third firm should charge a higher price. c. Which firm will be most vulnerable to a Bertrand style price war? Explain.