A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital. Max 20x1 + 30x2 + 10x3 + 15x4 s.t. 5x1 + 7X2 + 12x3 + 11x4 ≤ 21 {Constraint 1} X1 + x2 + x3 + x4 ≥ 2 [Constraint 2} X1 + X2 ≤ 1 [Constraint 3} X1 + X3 2 1 [Constraint 4]} X2 = x4 [Constraint 5} 1, if loaction j is selected 0, otherwise Which of the constraints ensures that at least two of the potential sites will be selected? xj =
A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital. Max 20x1 + 30x2 + 10x3 + 15x4 s.t. 5x1 + 7X2 + 12x3 + 11x4 ≤ 21 {Constraint 1} X1 + x2 + x3 + x4 ≥ 2 [Constraint 2} X1 + X2 ≤ 1 [Constraint 3} X1 + X3 2 1 [Constraint 4]} X2 = x4 [Constraint 5} 1, if loaction j is selected 0, otherwise Which of the constraints ensures that at least two of the potential sites will be selected? xj =
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Transcribed Image Text:A firm has prepared the following binary integer program to evaluate a number of potential locations for new
warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than
their currently available capital.
Max 20x1 + 30x2 + 10x3 + 15x4
s.t. 5x1 + 7x2 + 12x3 + 11x4 ≤ 21 {Constraint 1}
X1 + X2 + x3 + x4 ≥ 2 {Constraint 2}
X1 + X2 ≤ 1 {Constraint 3}
X1 + X3 ≥ 1 {Constraint 4}
X2 = x4 {Constraint 5}
xj
1, if loaction j is selected
0, otherwise
Which of the constraints ensures that at least two of the potential sites will be selected?
Transcribed Image Text:Multiple Choice
O
O
O
Constraint 1
Constraint 2
Constraint 3
Constraint 4
Constraint 5
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