A cargo plane has three compartments for storing cargo: front, center and rear. These

compartments have the following limits on both weight and space

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.

The following four cargoes are available for shipment on the next flight:

Any proportion of these cargoes can be accepted. The objective is to determine how

much $($if any$)$ of each cargo C$1,$ C$2,$ C$3$ and C$4$ should be accepted and how to

distribute each among the compartments so that the total profit for the flight is

maximized.a cargo plane has three compartments for storing cargo: front center and back. These compartments have capacity limits on both weight and space as summarized below