Question

Build an LP Model using AMPL from the word problem A small cargo plane has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized in the table below. Furthermore, the weight of the cargo in the respective compartments must be the same proportion of that compartment's weight to maintain the balance of the airplane. Compartment | Weight Capacity (Tons) | Space Capacity (Cubic Feet) Front | 12 | 7,100 Center | 18 | 9,100 Back | 10 | 5,100 The following cargoes have been offered for shipment on an upcoming flight as space is available. Any portion of these cargoes can be accepted. Cargo | Weight (Tons) | Volume (Cubic Feet/Ton) | Profit ($/Ton) A | 20 | 600 | 319 B | 16 | 800 | 399 C | 25 | 700 | 359 D | 13 | 500 | 289 1). Formulate a linear programming model for this problem statement. 2). What is the optimum solution for the flight? 3). If Cargo number D was unavailable, what would the new optimum mixture be?

          Build an LP Model using AMPL from the word problem
A small cargo plane has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized in the table below. Furthermore, the weight of the cargo in the respective compartments must be the same proportion of that compartment's weight to maintain the balance of the airplane.

Compartment | Weight Capacity (Tons) | Space Capacity (Cubic Feet)
Front | 12 | 7,100
Center | 18 | 9,100
Back | 10 | 5,100

The following cargoes have been offered for shipment on an upcoming flight as space is available. Any portion of these cargoes can be accepted.

Cargo | Weight (Tons) | Volume (Cubic Feet/Ton) | Profit ($/Ton)
A | 20 | 600 | 319
B | 16 | 800 | 399
C | 25 | 700 | 359
D | 13 | 500 | 289

1). Formulate a linear programming model for this problem statement.
2). What is the optimum solution for the flight?
3). If Cargo number D was unavailable, what would the new optimum mixture be?

Build an LP Model using AMPL from the word problem
A small cargo plane has three compartments for storing cargo: front, center, and back. These compartments have capacity limits on both weight and space, as summarized in the table below. Furthermore, the weight of the cargo in the respective compartments must be the same proportion of that compartment's weight to maintain the balance of the airplane.

Compartment | Weight Capacity (Tons) | Space Capacity (Cubic Feet)
Front | 12 | 7,100
Center | 18 | 9,100
Back | 10 | 5,100

The following cargoes have been offered for shipment on an upcoming flight as space is available. Any portion of these cargoes can be accepted.

Cargo | Weight (Tons) | Volume (Cubic Feet/Ton) | Profit (/Ton)
A | 20 | 600 | 319
B | 16 | 800 | 399
C | 25 | 700 | 359
D | 13 | 500 | 289

1). Formulate a linear programming model for this problem statement.
2). What is the optimum solution for the flight?
3). If Cargo number D was unavailable, what would the new optimum mixture be?

Added by Anita S.

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