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  3. 3413 a cargo plane has three compartments for storing cargo...

Question: 3413 a cargo plane has three compartments for storing cargo...

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3.4-13 A cargo plane has three compartments for storing cargo front, center, and back. These compartments have capacity limit on both weight and space, as summarized below: Weight Capacity (Tons) Space Capacity (Cubic Feet Compartment Front Center Back 12 18 10 7,000 9,000 5,000 Furthermore, the weight of the cargo in the respective compar ments must be the same proportion of that compartments weigl capacity to maintain the balance of the airplane. The foilowing four cargoes have been offered for shipmer on an upcoming flight as space is available: Weight Tons) Volume (Cubic Feet/Ton) Profit (S/Ton Cargo 20 16 25 13 500 700 600 400 320 400 360 290 2 4 Any portion of these cargoes can be accepted. The objective is 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.
Furthermore, the weight of the cargo in the respective compart ments must be the same proportion of that compartments weigh capacity to maintain the balance of the airplane. The foilowing four cargoes have been offered for shipmer on an upcoming flight as space is available: Weight (Tons) Volume (Cubic Feet/Ton) Profit (S/Ton Cargo 20 16 25 13 500 700 600 400 320 400 360 290 2 4 Any portion of these cargoes can be accepted. The objective is 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. (a) Formulate a linear programming model for this problem. c (b) Solve this model by the simplex method to find one of its multiple optimal solutions
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