There are two firms in an industry engaging in quantity competition. Firm 1 is operating with a technology q₁ = Min[L₁, K₁/2] and Firm 2 is operating with a technology q₂ = Min[L₂/3, K₂], where L and K are the labor and capital input of each firm. The unit price of labor and capital are both one per unit. Demand is given by Q = 100 - p. Derive the equilibrium quantities, profits and the price that will prevail in this industry