An optimal solution of a linear programming problem always lies on the boundary of the feasible solution space.

Name: An optimal solution of a linear programming problem always lies on the boundary of the feasible solution space.
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In linear programming, the optimal solution, if it exists, is always found on the boundary of the feasible solution space due to the linear nature of both the objective function and the constraints. This is a direct consequence of the Extreme Point Theorem.

An Optimal Solution of a Linear Programming Problem Always Lies