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What does a positive artificial variable in the final solution indicate about the problem?

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A positive artificial variable in the final solution indicates that the Linear Programming problem has no feasible solution. This means the original constraints cannot all be satisfied at the same time.

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A positive artificial variable in the final optimal tableau indicates that the linear programming problem is infeasible, meaning no single solution satisfies all constraints simultaneously. Artificial variables are temporary additions used to find an initial feasible point, so if one cannot be driven to zero, no valid feasible region exists.

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A positive artificial variable in the final solution indicates that the original Linear Programming problem is infeasible.

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