(2) A monopolist (public utility company) serves a market with inverse demand function p = 20 q. The monopolist's longrun cost function is C(q) = 10 + 2g if q > 0 and 0(0) 2 0. (a) If the monopolist is not regulated, what price does it charge and how much output does it produce? (b) The government wants to regulate the monopolist to maximize social surplus. Describe an optimal regulation policy that ensures the monopolist does not exit the market. How much does social surplus increase with this policy