Reference no: EM133200593

Leslie Higgins is trying to schedule projects for his consulting company over the next month. He would like to use an optimization model to help determine which projects to schedule. Suppose that the decision variables are x1, x2 and x3 for this optimization model.

Let x1 = 1 if Leslie chooses to do project 1, and 0 if he chooses NOT to do project 1.  Let x2 = 1 if Leslie chooses to do project 2, and 0 if he chooses NOT to do project 2.  Let x3 = 1 if Leslie chooses to do project 3, and 0 if he chooses NOT to do project 3.

Leslie must choose to do at least 1 of the projects, but he cannot do all 3. Which of the following constraints will achieve this logical requirement? 

x1 + x2 + x3 <= 2

x1 + x2 >= x3

x1 + x2 + x3 = 2

Requires 2 constraints: x1 + x2 + x3 < 3 AND x1 + x2 + x3 >= 1