Two firms produce differentiated products and set prices to
maximize their individual profits. Demand functions for the firms
are given by
Q1 =64–4P1 +2P2
Q2 =50–5P2 +P1
where P1, P2, Q1, Q2, refer to prices and outputs of firms 1 and
2 respectively. Firm 1’s marginal cost is $5 while firm 2’s
marginal cost is $4. Each firm has a fixed cost of $50.
Assuming that the two firms decide on prices independently and
simultaneously, calculate the best response function...