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A cargo plane has 3 compartments for storing cargo: front, center and rear. These compartments have the following limites on both weight and space. Compartment Weight capacity (tonnes) Space capacity (cubic meters Front 10 6800 Center 16 8700 Rear 8 5300 Furthermore, the weight of the cargo in the respective compartments must be the same proportaion of that compartment's weight capacity to maintain the balance of the plain. The following form cargoes are available for shipment on the next flight. CompartmentWeight (tonnes) Volume (cubic meters/tonne) Profit (Dollars/tonne) C1 18 480 310 C2 15 650 380 C3 23 580 350 C4 12 390 285 Any proportion of these cargoes can be accepted. The objective is to determine how much (if any) of each cargo C1,C2,C3, and C4 should be accepted and how to distribute each among the compartments so that the total profit for the flight is maximized