Suppose a monopolist's per-period demand curve for a new computer chip is given by p = 100 - 0.25q, and its marginal cost (mc) is $20. (a) What is the per-period value of the innovation to society, v, if the innovation is competitively supplied instead? (b) Calculate per-period consumer surplus, deadweight loss, and monopoly profit. (C) Calculate the (discounted) present value of the patent to the monopolist if -0.05 (or 5%) and n=20 years. Recall that 7=[1 (1/1+r)"]/r. Note: (1/1.05)20=0.38.