If an $LPP$ admits an 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.

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The coordinates of the corner points of the bounded feasible region are $(0,10), (5,5), (15,15)$,and $(0,20)$. The maximum value of the objective function $Z = 10x + 20y$ is:

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