In a capital budgeting problem, a decision maker having a limited amount of budget is considering to give financial support to research project A, B, C, D and E. Suppose is a binary variable, which equals 1 if project is chosen and 0 otherwise. Which of the following logical constraints correctly models the requirement that “If Project C is not chosen, Then Projects A and B must be chosen”? A. Xa +Xb <= Xc B. 1- Xc <= Xa +Xb C. 1- Xc <= Xa , 1- Xc <= Xb D. Xa +Xb <= 1 + Xc
In a capital budgeting problem, a decision maker having a limited amount of budget is considering to give financial support to research project A, B, C, D and E. Suppose is a binary variable, which equals 1 if project is chosen and 0 otherwise. Which of the following logical constraints correctly models the requirement that “If Project C is not chosen, Then Projects A and B must be chosen”? A. Xa +Xb <= Xc B. 1- Xc <= Xa +Xb C. 1- Xc <= Xa , 1- Xc <= Xb D. Xa +Xb <= 1 + Xc
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 52P
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In a capital budgeting problem, a decision maker having a limited amount of budget is considering to give financial support to research project A, B, C, D and E. Suppose is a binary variable, which equals 1 if project is chosen and 0 otherwise. Which of the following logical constraints correctly models the requirement that “If Project C is not chosen, Then Projects A and B must be chosen”?
A. Xa +Xb <= Xc
B. 1- Xc <= Xa +Xb
C. 1- Xc <= Xa , 1- Xc <= Xb
D. Xa +Xb <= 1 + Xc
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