2. Assume that the cost functions of two firms producing the same commodity are

$$C1 = 2q1^2 + 20q1 - 2q1q2 \quad ; \quad C2 = 3q2^2 + 60q2$$

(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%)