What does Fundamental theorem of linear programming says?

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What does Fundamental theorem of linear programming says?

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Answer 1

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An optimal solution to an LP problem can be found at an extreme point of the feasible region.

Optimal point occurs on the objective function line corresponding to the optimal objective function value

At any extreme point, the set of variables having non-zero values are called basic variables. This set is called the basis.

Each variable whose value is zero at any extreme point solution is called a non-basic variable (which means that these variables are not in the basis at that solution).

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What does Fundamental theorem of linear programming says?

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