ILP Case: Please provide a mathematical formulation for each of the constraints (appearing on separate screens) referring to the following scenario. A car rental company wants to add 5 new models to its current fleet. After some research it has shortlisted the following models as potential additions. Retail Price Car Model Manufacturer Category (in $1000) Sedan 17 Sedan 24 SUV 28 14 Sedan 30 SUV 32 6 SUV 36 Sedan 25 8 Sedan 32 9 SUV 27 10 SUV 35 Denote the decision to add each model i = 1, 2. ., 10 by binary variables y1, y2, ., y10, respectively. A value of 0 for a decision variable indicates not adding and a value of 1 indic Constraint: The company wants to select exactly 5 models.

Practical Management Science
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Author:WINSTON, Wayne L.
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ILP Case: Please provide a mathematical formulation for each of the constraints (appearing on separate screens) referring to the following scenario.
A car rental company wants to add 5 new models to its current fleet. After some research it has shortlisted the following models as potential additions.
Retail Price
Car Model
Manufacturer
Category
(in $1000)
Sedan
17
12
Sedan
24
3
SUV
28
14
B
Sedan
30
15
B
SUV
32
16
B
SUV
36
Sedan
25
18
Sedan
32
19
SUV
27
10
SUV
35
Denote the decision to add each model i = 1, 2, .., 10 by binary variables y1, y2, ., y10, respectively. A value of 0 for a decision variable indicates not adding and a value of 1 indicates adding the model to the fleet.
Constraint: The company wants to select exactly 5 models.
Transcribed Image Text:ILP Case: Please provide a mathematical formulation for each of the constraints (appearing on separate screens) referring to the following scenario. A car rental company wants to add 5 new models to its current fleet. After some research it has shortlisted the following models as potential additions. Retail Price Car Model Manufacturer Category (in $1000) Sedan 17 12 Sedan 24 3 SUV 28 14 B Sedan 30 15 B SUV 32 16 B SUV 36 Sedan 25 18 Sedan 32 19 SUV 27 10 SUV 35 Denote the decision to add each model i = 1, 2, .., 10 by binary variables y1, y2, ., y10, respectively. A value of 0 for a decision variable indicates not adding and a value of 1 indicates adding the model to the fleet. Constraint: The company wants to select exactly 5 models.
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