1.4 points) A train has three compartments for storing cargo: front center and rear. These compartments have the following limits on both weight and space: Compartment Weight capacity (ton) Space capacity (cubic meters) Front 10 6800 Centre 16 8700 Rear 8 5300 To maintain the balance of the train, the weight of the cargo in the respective compartments must be the same proportion of that compartment's weight capacity. The following four cargoes are available for shipment on the next trip Carse Weight (tons) Volume (cubic meters ton) Profit (Ston) CI 480 310 C2 15 650 380 C3 23 580 350 C4 12 390 285 It is assumed that any proportion of these cargoes can be loaded. Formulate a linear programming model, in order to determine how much of each cargo CI, C2, C3 and C4 should be loaded in each compartment, so that the total profit of the trip is optimized. 18