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Two firms are engaging in quantity competition. Firm 1 has the cost function c (91) = 891 for all q1 > 0 and Firm 2 has the cost function c(q2) = 2q2 for all q2 > 0. Firm 1 and Firm 2 produce q and 42 respectively (units of output). Market demand is given by Q = 1, 200 - 2p where Q - 91 + 92- a) Suppose that the two firms are playing a Stackelberg game and firm 1 moves first. Find the Stackelberg equilibrium. (2 marks) b) Suppose that the two firms are playing a Stackelberg game and firm 2 moves first. Find the Stackelberg equilibrium. (2 marks) c) Explain the first mover advantage in the context of your answers in parts a) and b) above (2marks) d) Suppose now that the firms play a Cournot game. Find the Cournot equilibrium. (2 marks)