If a single optimal solution exists to a graphical LP problem, it will exist at a corner point.

Name: If a single optimal solution exists to a graphical LP problem, it will exist at a corner point.
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In graphical linear programming (LP), if a single optimal solution exists, it is always found at a corner (vertex) of the feasible region, due to the linear nature of both the objective function and the constraints.

If a Single Optimal Solution Exists to a Graphical LP