Users' questions

Do non-binding constraints have slack?

Do non-binding constraints have slack?

If a slack variable is positive at a particular candidate solution, the constraint is non-binding there, as the constraint does not restrict the possible changes from that point. If a slack variable is negative at some point, the point is infeasible (not allowed), as it does not satisfy the constraint.

What does it mean when a constraint is non-binding?

If an inequality constraint holds as a strict inequality at the optimal point (that is, does not hold with equality), the constraint is said to be non-binding, as the point could be varied in the direction of the constraint, although it would not be optimal to do so.

Do binding constraints have slack or surplus?

1. a constraint is binding if the RHS of the constraint equals the LHS when evaluated for a solution. 2. the slack or surplus of a binding constraint equals zero.

How do you identify a non-binding constraint?

If your answer is equal to the Right Hand Side (RHS) of the inequality, then the constraint is BINDING. If your answer is not equal to the RHS of the inequality, then the constraint is NON- BINDING.

How is a binding constraint different from a non binding constraint?

A binding constraint is one where some optimal solution is on the line for the constraint. Thus if this constraint were to be changed slightly (in a certain direction), this optimal solution would no longer be feasible. A non-binding constraint is one where no optimal solution is on the line for the constraint.

What kind of constraint has zero slack or surplus?

55) A constraint with zero slack or surplus is called a A) nonbinding constraint. B) resource constraint. C) binding constraint.D) nonlinear constraint.

Can you substitute a binding constraint for a slack constraint?

If I find that a constraint is binding, I can easily substitute it in the objective function, but what if I find that a constraint is slack (it holds with inequality)? Should I keep it in the maximization problem or can I get rid of it?

Why is a Redundant constraint a binding constraint?

A redundant constraint is a binding constraint F Because surplus variables represent the amount by which the solution exceeds a minimum target, they are given positive coefficients in the objective function. F Alternative optimal solutions occur when there is no feasible solution to the problem. F