Constraints

Definition

Constraints are conditions or limits imposed on variables in a mathematical model. They restrict the feasible region within which an optimal solution can be found.

5 Must Know Facts For Your Next Test

1. Constraints are usually expressed as linear inequalities or equations.
2. In a linear programming problem, constraints define the boundaries of the feasible region.
3. The intersection of all constraints forms the feasible solution space.
4. Constraints can represent resource limitations, such as time, money, or materials.
5. A solution must satisfy all constraints to be considered feasible.

Review Questions

• What is the role of constraints in a linear programming problem?
• How do constraints affect the feasible region?
• Can a solution that does not meet all constraints be considered optimal?

Related terms

Feasible Region: The set of all possible points that satisfy all given constraints in a linear programming problem

Objective Function: A mathematical expression that needs to be maximized or minimized in a linear programming problem

Linear Inequality: An inequality that involves a linear function