1. The market demand curve for a pair of duopolists is given as = 36 3,where = 1+ 2.The constant per unit marginal cost is 18 for each duopolist.

Find the Cournot equilibrium price, quantity, and profits.

Find the equilibrium price, quantity, and profits if firms act as Bertrand duopolists.

c.Find the equilibrium price, quantity, and profit for each firm, assuming the firms act as a Stackelberg leader and follower, with firm 1 as the leader.

Please explain the theory for me to understand it rather than just answers, thanks !