In an industry there are two firms with the following cost functions: c1(q1) = 2 (q1)2, and c2(q2) = (q2 )2, where q1 and q2 denote the production level of every firm. The market demand is: p= a–Q,where a is a positive parameter, and Q=q1 +q2. 1.1 Find the collusive solution. In particular, find the price, output, production quotas and price that maximize industry profit.