In: Economics
Consider a monopolist who has a cost function of ?(?)=???. This
monopolist faces two consumers, the first having demand
??(??)=??−?? and the second having demand ??(??)=??−??.
a) Calculate the profit-maximizing price and then the optimal
quantity sold to each consumer under uniform pricing, i.e. the
monopolist charges the same price for both consumers. What are the
monopolist’s profits?
b) Suppose now that the monopolist can engage in third degree price
discrimination. Find the monopolists profit maximizing prices for
consumers 1 and 2 (they should be different), and calculate the
monopolist’s profits. How do they compare to the profits in part
(a)?