Corner points of the feasible region for an $LPP$ are $(0,2), (3,0), (6,0), (6,8)$ and $(0,5)$. Let $Z = 4x + 6y$ be the objective function. The minimum value of $Z$ occurs at

  • A
    Only $(0,2)$
  • B
    Only $(3,0)$
  • C
    The mid-point of the line segment joining the points $(0,2)$ and $(3,0)$
  • D
    Any point on the line segment joining the points $(0,2)$ and $(3,0)$

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