3.4-15* 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: Weight Саpacity (Tons) Space Саpacity (Cubic Feet) Compartment Front 7,000 9,000 5,000 12 Center 18 Back 10 Furthermore, the weight of the cargo in the respective compart- ments must be the same proportion of that compartment's weight capacity to maintain the balance of the airplane.
3.4-15* 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: Weight Саpacity (Tons) Space Саpacity (Cubic Feet) Compartment Front 7,000 9,000 5,000 12 Center 18 Back 10 Furthermore, the weight of the cargo in the respective compart- ments must be the same proportion of that compartment's weight capacity to maintain the balance of the airplane.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
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Transcribed Image Text:3.4-15* 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:
Weight
Саpacity
(Tons)
Space
Сapacity
(Cubic Feet)
Compartment
Front
7,000
9,000
5,000
12
Center
18
Back
10
Furthermore, the weight of the cargo in the respective compart-
ments must be the same proportion of that compartment's weight
capacity to maintain the balance of the airplane.
Transcribed Image Text:The following four cargoes have been offered for shipment
on an upcoming flight as space is available:
Cargo
Weight
(Tons)
Volume
Profit
(Cubic Feet/Ton)
(S/Ton)
1
20
500
320
2
16
700
400
3
25
600
360
4
13
400
290
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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