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MHT CET20192 May 2019Morning ShiftMathematicsArea Under CurvesActual

The maximum value of z = 9 x + 11 y subject to 3 x + 2 y ≤ 12 , 2 x + 3 y ≤ 12 , x ≥ 0 , y ≥ 0 is ________

Options

  1. A44
  2. B54
  3. C36
  4. D48

Correct answer

D. 48

Step-by-step solution

Given: z = 9 x + 11 y (Maximize) Given: condition 3 x + 2 y ≤ 12 2 x + 3 y ≤ 12 , x ≥ 0 , y ≥ 0 Then z 0,0 = 0 z 4,0 = 36 , z ( 0,4 ) = 44

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