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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3dce0a1-8b3d-4fde-94e4-69ceb89d509c%2Fbf0afccf-6c7c-462f-8ffd-83ce0cdb7231%2Fkobrcvk_processed.png&w=3840&q=75)
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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