The market for “caldo-de-oso” consists of two firms that produce identical
products. Competition in the market is such that each of the firms
independently produces a quantity of output, and these quantities are then sold
in the market at a price that is determined by the total amount produced by the
two firms. Firm 2 is known to have a cost advantage over firm 1. A recent study
found that the (inverse) market demand curve faced by the two firms is P = 280
– 2(Q1 + Q2), and costs are C1(Q1) = 3Q1 and C2(Q2) = 2Q2.
a. Determine the marginal revenue for each firm.
b. Determine the reaction function for each firm.
c. How much output will each firm produce in equilibrium?
d. What are the equilibrium profits for each firm?