A cargo plane has two compartments for storing cargo, front and back. These compartments have capacity limits on both weight and space, as summarized below.

They have three available cargos for an upcoming flight. The details are given below:

For maintaining balance, the total weight of the cargo loaded in the back must be more than the total cargo loaded in the front. Each cargo must be accepted in full and loaded entirely in front or back. The objective is to determine which must be accepted and where it should go in the plane, so as to maximize total profit. Formulate this as an integer linear program.

Question

A cargo plane has two compartments for storing cargo, front and back. These compartments have capacity limits on both weight and space, as summarized below.
  
They have three available cargos for an upcoming flight. The details are given below:
  
For maintaining balance, the total weight of the cargo loaded in the back must be more than the total cargo loaded in the front. Each cargo must be accepted in full and loaded entirely in front or back. The objective is to determine which must be accepted and where it should go in the plane, so as to maximize total profit. Formulate this as an integer linear program.

Quizplus · Accepted Answer

The Answer of A cargo plane has two compartments for storing cargo, front and back. These compartments have capacity limits on both weight and space, as summarized below.
  
They have three available cargos for an upcoming flight. The details are given below:
  
For maintaining balance, the total weight of the cargo loaded in the back must be more than the total cargo loaded in the front. Each cargo must be accepted in full and loaded entirely in front or back. The objective is to determine which must be accepted and where it should go in the plane, so as to maximize total profit. Formulate this as an integer linear program.

A Cargo Plane Has Two Compartments for Storing Cargo, Front