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MHT CET20192 May 2019Morning ShiftMathematicsArea Under CurvesActual

The minimum value of z = 10 x + 25 y subject to 0 ≤ x ≤ 3 , 0 ≤ y ≤ 3 , x + y ≥ 5 is ________

Options

  1. A80
  2. B95
  3. C105
  4. D30

Correct answer

A. 80

Step-by-step solution

Given, Minimize z = 10 x + 25 y Subject to conditions 0 ≤ x ≤ 3 , 0 ≤ y ≤ 3 , x + y ≥ 5 z ( 3,2 ) = 80 z ( 3,3 ) = 105 z 2,3 = 95

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