PROBLEM 5 A ship has three cargo holds: forward, aft, and center. The capacity limits are: Forward 2000 tons Center 3000 tons 100,000 cubic feet 150,000 cubic feet 45,000 cubic feet Aft 1500 tons The following cargoes are offered; the ship owners may accept all or any part of each commodity: Commodity Amount, tons Volume per ton, cubic feet Profit per ton, Pesos 6,000 60 4,000 50 2,000 25 In order to preserve the trim of the ship, the weight in each hold must be proportional to the capacity in tons. How should the cargo be distributed so as to maximize profit