Two identical firms form a duopoly. Each knows that the demand for the product is given by the equation P=400-2Q. Assume marginal costs are zero. a) What is each firm's reaction function? b) What is the equilibrium level of output and price? c) How do the duopoly's price and quantity compare with: a. The price and output if the firms behaved like a competitive industry b. The price and output if the firms formed a cartel.

my professor also noted that: the reaction function for firm #2 is: Q2 = 0.25*(400-2Q1)