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Consider the following oligopolistic market. In the first stage, Firm 1 chooses quantity q1. Firms 2 and 3 observe Firm 1's choice, and then proceed to simultaneously choose q2 and q3, respectively. Market demand is given by p(@) = 100 - Q, and Q = q1 + q2 + q3. Firm 1's costs are ci(q1) = 1q1, firm 2's costs are c2(q2) = 6q2 and firm 3's costs are c3(93) = 693. Starting from the end of the game, you can express Firm 2's best response function in terms of qi and q3, and you can similarly express Firm 3's best response function in terms of q1 and q2. Using these, answer the following questions. If rounding is needed, write your answers to 3 decimal places. a) (0.5 point) If Firm 1 chooses q1 = 6, what quantity will Firm 2 choose? b) (0.5 point) If Firm 1 chooses q1 = 100, what quantity will Firm 2 choose? c) (1 point) In the subgame perfect Nash equilibrium of this game, firm 1 produces what quantity? d) (0.5 point) In the subgame perfect Nash equilibrium of this game, firm 2 and firm 3 each produce what quantity? Please put an answer in each input field