1. The demand curve facing a monopolist is given by q(p)=10200-100p and its cost function is of the form c(q)=(q^2)/2.
(a) Write down the total revenue function of the monopolist.
(b) Write down the marginal revenue function.
(c) Calculate the equilibrium price and output of the monopolist.
(d) Calculate producer surplus in the market.
(e) Calculate consumer surplus.
(f) Calculate the deadweight loss due to monopoly.