If an LPP admits optimal solution at two consecutive vertices of a feasible region, then

Question

If an LPP admits optimal solution at two consecutive vertices of a feasible region, then, the required optimal solution is at the midpoint of the line joining two points., the optimal solution occurs at every point on the line joining these two points, the LPP under consideration is not solvable, the LPP under consideration must be reconstructed

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If an LPP admits optimal solution at two consecutive vertices of a feasible region, then the LPP under consideration is not solvable.

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