Consider a Stackleberg game of quantity competition between two firms. Firm 1 is the leader and firm 2 is the follower. Market demand is described by the inverse demand function P = 1,000 - 4Q. Each firm has a constant unit cost of production equal to 20.

a. Solve for Nash equilibrium outcome.

b. Suppose firm 2's unit cost of production is c < 20. What value would c have so that in the Nash equilibrium the two firms, leader and follower, had the same market share?