Consider an industry which produces a homogeneous product with inverse demand function p = 17 2Q, where p is the market price and Q total industry output. The cost function for each firm is C = q + F, where C is total cost, q is the firm's output, and F = 2. Firms are profit-maximisers and compete by setting quantities. (a) Assuming free entry and exit, derive the equilibrium number of firms in the industry. (b) How would collusion among existing firms affect the equilibrium number of firms in the industry? Justify your answer.