A monopolist has a cost function of so that its marginal costs are constant at $l per unit.It faces the following demand curve

A monopolist has a cost function of 601) = 3/ so that its marginal costs are constant at $1 per unit. It faces the following demand curve: 0, if p > 20; D(p) = 100/p ifp s 20. a) What is the prot-maximizing choice of output? b) If the government could set a price ceiling on this monopolist in order to force it to act as a competitor, What price should they set? c) What output would the monopolist produce if forced to behave as a competitor