Data Corp is considering which of 4 different projects to undertake in order to maximize its net present value (NPV). Define Xi as a binary variable that equals 1 if project i is undertaken and 0 otherwise, for
i = 1, 2, 3, 4.
The NPV and required capital (in millions) for each project are listed below.
Project Net Present Value Capital Required
1 40 9
2 80 13
3 10 3
4 90 8
Which of the following represents the constraint stating that project 3 can be undertaken only if project 2 is undertaken?
A) X2 + X3 ? 1
B) X2 - X3 ? 0
C) X3 - X2 ? 0
D) X2 - X3 ? 1
E) X3 - X2 ? 1
C
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