Explore BrainMass

Explore BrainMass

    Determine how much (if any) of each cargo should be accepted and how to distribute each among the compartments to maximize the total profit for the flight. Formulate the linear programming model for this problem.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    A cargo airplane operated by has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized below:

    Compartment Weight
    Capacity
    (tons) Space
    Capacity
    (cu.ft.)
    Front
    Center
    Back 12
    13
    10 7,000
    9,000
    5,000

    To ensure proper weight and balance, the weight of the cargo in the respective compartments must be the same proportion of that compartment's weight capacity.

    The following four cargos have been offered for shipment on an upcoming flight as space is available:

    Cargo Weight
    (tons) Volume
    (cu.ft./ton) Profit
    ($/ton)
    1
    2
    3
    4 20
    16
    25
    13 500
    700
    600
    400 280
    360
    320
    250

    Any portion of these cargoes can be accepted. Determine how much (if any) of each cargo should be accepted and how to distribute each among the compartments to maximize the total profit for the flight. Formulate the linear programming model for this problem.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:11 pm ad1c9bdddf
    https://brainmass.com/math/linear-programming/34162

    Attachments

    Solution Summary

    This solution is comprised of a detailed explanation to determine how much (if any) of each cargo should be accepted and how to distribute each among the compartments to maximize the total profit for the flight and formulate the linear programming model for this problem.

    $2.49

    ADVERTISEMENT