What is the definition of a feasible region?
Understand the Problem
The question is asking for a definition of the term 'feasible region', which is commonly used in mathematics, especially in linear programming and optimization contexts. The feasible region refers to the set of all possible points that satisfy a given set of constraints.
Answer
The set of points that satisfy all the constraints of a system of inequalities.
The feasible region is the set of points that satisfy all the constraints of a system of inequalities.
Answer for screen readers
The feasible region is the set of points that satisfy all the constraints of a system of inequalities.
More Information
In linear programming, the feasible region is often visualized graphically as the area where the shaded regions of all inequalities overlap. It represents all potential solutions to the problem.
Tips
A common mistake is neglecting to include all constraints when determining the feasible region.
Sources
- Feasible Region Definition & Graphs - Lesson - Study.com - study.com
- Q: What is the definition of a feasible region in linear programming? - ck12.org
- Define feasible region. - toppr.com
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