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Consider a capital budgeting problem with six projects represented by 0-1 variables x1, x2, x3, x4, x5, and x6. a. Write a constraint modeling a situation in which two of the projects 1, 3, and 6 must be undertaken. b. In which situation the constraint "x3 - x5 = 0" is used, please explain clearly: c. Write a constraint modeling a situation in which project 2 or 4 must be undertaken, but not both. d. Write constraints modeling a situation where project 1 cannot be undertaken IF projects 3 also is NOT undertaken.

Consider a capital budgeting problem with six projects represented by 0-1 variables x1, x2, x3, x4, x5, and x6. a. Write a constraint modeling a situation in which two of the projects 1, 3, and 6 must be undertaken. b. In which situation the constraint "x3 - x5 = 0" is used, please explain clearly: c. Write a constraint modeling a situation in which project 2 or 4 must be undertaken, but not both. d. Write constraints modeling a situation where project 1 cannot be undertaken IF projects 3 also is NOT undertaken.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Consider a capital budgeting problem with six projects represented by 0-1 variables x1, x2, x3, x4, x5, and x6. a. Write a constraint modeling a situation in which two of the projects 1, 3, and 6 must be undertaken. b. In which situation the constraint "x3 - x5 = 0" is used, please explain clearly: c. Write a constraint modeling a situation in which project 2 or 4 must be undertaken, but not both. d. Write constraints modeling a situation where project 1 cannot be undertaken IF projects 3 also is NOT undertaken. e. Please explain clearly the situation in which the following 3 constraints are used simulataneously (together): x4 <x1 x4 3 x3 x4 2x1 + x3 - 1
Transcribed Image Text:Consider a capital budgeting problem with six projects represented by 0-1 variables x1, x2, x3, x4, x5, and x6. a. Write a constraint modeling a situation in which two of the projects 1, 3, and 6 must be undertaken. b. In which situation the constraint "x3 - x5 = 0" is used, please explain clearly: c. Write a constraint modeling a situation in which project 2 or 4 must be undertaken, but not both. d. Write constraints modeling a situation where project 1 cannot be undertaken IF projects 3 also is NOT undertaken. e. Please explain clearly the situation in which the following 3 constraints are used simulataneously (together): x4 <x1 x4 3 x3 x4 2x1 + x3 - 1
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