Question

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

• A. the required optimal solution is at the midpoint of the line joining two points.
• B. the optimal solution occurs at every point on the line joining these two points
• C. the LPP under consideration is not solvable
• D. the LPP under consideration must be reconstructed

Answer 1

The correct option is B the optimal solution occurs at every point on the line joining these two points

We know that the optimal solution of an LPP occurs at corner points of the feasible region. But if an LPP admits optimal solution at two consecutive vertices of a feasible region, then the optimal solution occurs at every point on the line joining these two points.