solve this problem

A monopolist faces linear demand p = a q and has cost C = cq + F, where all parameters are positive, a: > c, and (a c)2 > 43F. (a) Solve for the monopolist's output, price, and prots. (b) Calculate the deadweight loss. Assume now the government requires this rm to set the price that maximizes the sum of consumer surplus and producer surplus, and to serve all buyers at that price. (c) What is the price the rm must charge? (d) Calculate the rm's profit (or loss) under this regulation. Is this form of regulation sustainable in the long run