Question

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

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

Answer 1

Answer: (D)

the optimal solution occurs at every point on the joining these two points

If an LPP admits solution at two consecutive vertices of a feasible region, then every point on the line joining these two points will satisfy the given function $Z$.

Then the optimal solution occurs at every point on the line joining these two points.

Hence, option D is correct.