Suppose firm 1 and firm 2 each produce the same product, and face a market demand curve by Q=5000-200P. Firm 1 and 2 have the same unit cost of production c=10.
(a) Write down each firm’s derived demand functions, profit functions and best response functions.
What is the Bertrand-Nash equilibrium outcome?
(b) What are the profits of each firm?
(c) Is this outcome efficient?