2. Assume that the cost functions of two firms producing the same commodity are
$$C_1 = 2q_1^2 + 20q_1 - 2q_1q_2 \quad ; \quad C_2 = 3q_2^2 + 60q_2$$
(1) Determine the output levels of the firms on the assumption that each equates its private MC to a fixed market price of 300. (10%)