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MHT CET20228 Aug 2022Evening ShiftMathematicsLinear ProgrammingActual

The function to be maximized is given by Z=2 x+y . The feasible region for this function Z is the shaded region given below. The maximum value of Z is and occurs at the point .

Options

  1. A10,(5,0)
  2. B12,(6,0)
  3. C9,(1.5,6)
  4. D21,(0.5,0)

Correct answer

B. 12,(6,0)

Step-by-step solution

Corner points are (0,5),(5,0),(6,0),(0,7) and ( 3 2 , 6 )Z=2 x+y is maximum at (6,0)Z_ =2 6+0=12

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