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 $C1,C2,C3,$

and C$4$ should be accepted and how to distribute each among the

compartments so that the total profit is maximized.

solutioUse CPLEX with external datan via CPLEX is requiredA 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 is maximized.

solutioUse CPLEX with external datan via CPLEX is requiredA 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 $C1,C2,C3,$

and C$4$ should be accepted and how to distribute each among the

compartments so that the total profit is maximized.

Use CPLEX with external data.