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KCET2024MathematicsLinear Programming

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

Options

  1. AOnly (0,2)
  2. BOnly (3,0)
  3. CThe mid-point of the line segment joining the points (0,2) and (3,0)
  4. DAny point on the line segment joining the points (0,2) and (3,0)

Correct answer

D. Any point on the line segment joining the points (0,2) and (3,0)

Step-by-step solution

Minimum of Z occur at (0,2) and (3,0) . Minimum value of Z occur at any point on the line segment (0,2) and (3,0) .

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