The market demand for a pair of duopolists is given as P = 360 - 4Q, where Q = Q1 + Q2. Total costs equal 60Q (MC = $60/unit) for each firm. For each firm determine the equilibrium price, output, and profit for the following models:
a. Shared Monopoly
b. Cournot Duoplists (each rival assumes output is fixed)
c. Stackelberg Duopolists (assume firm one is the leader)
d. Bertrand Duopolists (competitive case)