An industry consists of two firms, Firm 1 and Firm 2. The inverse market demand for a homogenous product is given by P=100-q1-q2, where q1 is the output produced by Firm 1, q2 is the output produced by Firm 2, and P is the market price of the product. Firms have asymmetric costs, particularly the per unit operating cost of Firm 1 is 10 and the per unit operating cost of Firm 2 is 15. Assume the firms compete simultaneously in quantities and determine firms profits and quantitates under collusion. Does collusive behavior increase social welfare (i.e., answer by comparing your results with the Cournot equilibrium results)?