Suppose that two identical firms in a homogeneous-product market compete in prices. The capacity of each firm is 3. The firms have constant marginal cost equal to 0 up to the capacity constraint. The demand in the market is given by Q (p) = 9 - p. If the firms set the same price, they split the demand equally. If the firms set a different price, the demand of each one of the firms is calculated according to the Efficient Rationing Rule. Show that p₁ = p₂ = 3 can be sustained as an equilibrium. Calculate the equilibrium profits.