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.
• Correct answer
  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

Hence, the correct answer is option: 'B'.