The market demand curve for a pair of duopolists is given as: P = 50 - 2Q, (Q = Q + Q2). The constant per unit marginal cost is 10 for each duopolist. a. Find the Cournot equilibrium price and quantity for each rm. Make sure to show your work. b. Solve as a Bertrand model. Find the equilibrium price and quantity for each rm. Make sure to show your work. c. Solve as a Stackelberg Leader-Follower model. Assume rm 1 is the leader. Find the equilibrium price and quantity for each rm. Make sure to show your work