Reference no: EM132857845

Suppose you are building a linear optimization model to help decide which projects your firm should undertake in the upcoming fiscal year. The decision variables are x1, x2 and x3.

Let x1 = 1 if you choose to do project 1, and 0 if you choose NOT to do project 1. Let x2 = 1 if you choose to do project 2, and 0 if you choose NOT to do project 2. Let x3 = 1 if you choose to do project 3, and 0 if you choose NOT to do project 3.

You know if you choose to do project 1, then you MUST also choose to do projects 2 and 3. If you choose not to do project 1, then there is no requirement on whether or not you choose to do projects 2 and 3. Which of the following constraints will achieve this logical constraint?

A. Requires 2 constraints: x1 <= x2 AND x1 <= x3

B. x1 <= x2 + x3

C. x1 <= x2 - x3

D. x1 + x2 + x3 = 1