A cargo plane 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 (Cubic Feet) Front 12 7000 Center 18 9000 Back 10 5000 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 as space is available: Cargo Weights Volume Profit (Tons) (Cubic Feet/Ton) (S/Ton) 1 20 20 500 270 2 16 700 350 3 25 600 310 4 13 400 240 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. Solve this model by the simplex method and determine the maximum possible profit. Maximum profit = $

A cargo plane 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 (Cubic Feet) Front 12 7000 Center 18 9000 Back 10 5000 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 as space is available: Cargo Weights Volume Profit (Tons) (Cubic Feet/Ton) (S/Ton) 1 20 20 500 270 2 16 700 350 3 25 600 310 4 13 400 240 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. Solve this model by the simplex method and determine the maximum possible profit. Maximum profit = $

Essentials of Business Analytics (MindTap Course List)

2nd Edition

ISBN:9781305627734

Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson

Chapter5: Probability: An Introduction To Modeling Uncertainty

Section: Chapter Questions

Problem 1P: On-time arrivals, lost baggage, and customer complaints are three measures that are typically used...

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