A freight plane has three large compartments to carry cargo. Weight and volume limitations of these compartments are:
Compartment Weight (Tons) Volume (m3 )
Front 10 6800
Center 16 8700
Rear 8 5300
There are four cargos waiting to be loaded in this plane. Properties of these cargos are shown on the table below:
Cargo Total Weight (Tons) Total Volume (m3 ) Profit (TL/ton)
K1 18 8640 310
K2 15 9750 380
K3 13 13340 350
K4 12 4680 285
Furthermore, the weight of the cargo in the respective compartments must be the same proportion of that compartment's weight capacity to maintain the balance of the plane. Any proportion of these cargoes can be accepted. Formulate a linear programming model to maximize the profit by choosing how many tons of which cargo to load on the plane under these circumstances.
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I don't no because it's long question
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