Define the feasible region in linear programming short answer 

In linear programming, the **feasible region** is the set of all possible points (solutions) that satisfy the system of linear inequalities (constraints). These points represent all potential solutions that meet the problem's conditions. The feasible region is typically represented as a convex polygon (or polyhedron in higher dimensions) on a graph.

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Here are 5 related questions:
1. What is an objective function in linear programming?
2. How do you determine if a point is in the feasible region?
3. What happens if the feasible region is unbounded?
4. Can a linear programming problem have no feasible region?
5. How do corner points relate to the optimal solution?

**Tip:** In linear programming, the optimal solution, if it exists, always lies at a vertex (corner point) of the feasible region.

Define the feasible region in linear programming short answer

In this guide, learn what a feasible region is in linear programming. Understand how it represents all possible solutions satisfying the system of inequalities and how it forms a convex polygon. Ideal for Grades 10-12, this resource also touches on key concepts like optimization and the relationship between the feasible region and the objective function.

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