What would happen to each firm’s current profits if firm 1 reduced its price to $10 while firm 2 continued to charge $15?

Two firms compete in a homogeneous product market where the inverse demand function is P = 20 − 5Q (quantity is measured in millions). Firm 1 has been in business for one year, while firm 2 just recently entered the market. Each firm has a legal obligation to pay one year’s rent of $2 million regardless of its production decision. Firm 1’s marginal cost is $2 and firm 2’s marginal cost is $10. The current market price is $15 and was set optimally last year when firm 1 was the only firm in the market. At present, each firm has a 50 percent share of the market.

a. Why do you think firm 1’s marginal cost is lower than firm 2’s marginal cost?

b. Determine the current profits of the two firms.

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c. What would happen to each firm’s current profits if firm 1 reduced its price to $10 while firm 2 continued to charge $15?

d. Suppose that, by cutting its price to $10, firm 1 is able to drive firm 2 completely out of the market. After firm 2 exits the market, does firm 1 have an incentive to raise its price? Explain.

e. Is firm 1 engaging in predatory pricing when it cuts its price from $15 to $10? Explain

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