economics question

3) In a market where there is one firm (a monopoly) the inverse demand function is given by: p(y) = 240 - y The cost function for this monopolist is: c(y) = 2000 + 0.5yz a) What is the monopolist's profit maximizing level of output? What price will the monopolist charge for this output? What are the monopolist's profits at this point? Explain your answer numerically and with the aid of a graph. b) Suppose the government wants to decrease the deadweight loss in this market and makes the monopolist set price equal to marginal cost. How much will the monopolist produce in this case? What will the monopolist's profits be