Consider a challenge in capital budgeting where six projects are represented by0−1variablesx1,x2,x3,x4,x5,andx6.a. Write a constraint...

Maiclubk

Maiclubk

Answered

2021-03-02

Consider a challenge in capital budgeting where six projects are represented by 01 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, explain clearly:
c. Create a constraint to represent a scenario where either roject 2 or 4 must be pursued, but not both
d. Write constraints modeling a situation where project 1 cannot be undertaken IF projects 3. also is NOT undertaken.
e. Explain clearly the situation in which the following 3 constraints are used simulataneously (together):
x4x1
x4x3
x4x1+x31

Answer & Explanation

escumantsu

escumantsu

Expert

2021-03-03Added 98 answers

Since you have posted multiple sub parts questions but according to guidelines, we will solve first three sub parts for you. For rest of the sub parts resubmit the question again and specify the part you want us to solve.
Consider a capital budgeting problem with 6 projects represented by 0 or 1 and variables x1,x2,x3,x4,x5,x6.
For part (a) it is required to find the constraint modelling a situation in which two of the project 1,3 and 6 must be undertaken.
x1+x3+x62 For part (b) it is required to find the situation of the constraint x3x5=0.
constraint: x3x5=0
Project 3 and 5 must be selected together and none of them cannot be selected alone
so < (x3,x5)=(1,1)or(0,0)
x3x5=0
For part (c) it is required to write a constraint modelling a situation in which project 2 or 4 must be taken but not both.
x2+x4=1
From the above constraint it is assure that one of the project is taken at a time not both as either
0 + 1=1 or 1 + 0=1

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