Linear Programming related question

A cargo plane has three compartments for storing cargo: front, centre, and back. These compartments have capacity limits on both weight and space, as summarized below: Compartment Weight capacity Space capacity (tons! (Cubic feet) 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 airplane. The following four cargoes have been offered for shipment on an upcoming flight. Volume [Cubic Profit (IS/tun) feet/ton) 500 Any portion of these cargoes can be accepted. Formulate a linear programming problem to maximize the total profit for the flight