In linear programming (LP), the viable region is the collection of all potential solutions that meet the specified constraints of the problem. It can be visually depicted as the region bounded by the constraint lines on a coordinate plane, where each line denotes an equality or inequality constraint. Depending on the restrictions, the viable zone may consist of a bounded polygon, be unbounded, or even be empty. Every point in this region indicates a set of decision variable values that satisfies all restrictions. It is essential for determining the optimum result based on the objective function since the optimal solution to the linear programming problem may always be located at one of the vertices (corner points) of the feasible region.

The feasible region in linear programming is the set of all possible points that satisfy the constraints of the problem.

the set of all points satisfying all the LP's constraints and all the sign constraints.

The feasible region in Linear Programming (LP) is the set of all possible solutions that satisfy the given constraints of the problem. It is typically represented graphically as a polygon or polyhedron in multidimensional space, where each point within this region corresponds to a viable combination of decision variable values. The boundaries of the feasible region are defined by the constraints, which can be inequalities or equalities. The optimal solution to the LP problem, whether maximizing or minimizing the objective function, is found at one of the vertices (corner points) of the feasible region.