Question

At optimality, which of the constraints are binding (satisfied with equality)?

1) None of the constraints are binding
2) All of the constraints are binding
3) Some of the constraints are binding
4) Cannot be determined without additional information

Answer 1

At optimality, some of the constraints are binding (satisfied with equality), while some may be non-binding (satisfied with inequality).

Step-by-step explanation:

At optimality, some of the constraints are binding (satisfied with equality). The binding constraints are the ones that limit the solution space and are essential for finding the optimal solution. These constraints are satisfied with equality, meaning the solution must fulfill them exactly. However, not all constraints need to be binding. Some constraints may be non-binding, meaning they are satisfied with inequality (strict inequality) and are not essential for finding the optimal solution.