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MHT CET202123 Sep 2021Evening ShiftMathematicsLinear ProgrammingActual

The maximum value of the objective function z =2 x +3 y subject to the constraints x + y 5,2 x + y 4 and x 0, y 0 is

Options

  1. A15
  2. B10
  3. C20
  4. D25

Correct answer

A. 15

Step-by-step solution

Refer Figure Required part is shaded. We have A =(0,4) ; aligned & B =(2,0) ; C =(5,0) & D =(0,5) aligned We have to maximize function aligned Z =2 x & +3 y z _ A & =2(0)+3(4)=12 Z _ B & =2(2)+3(0)=4 Z _ C & =2(5)+3(0)=10 Z _ D & =2(0)+3(5)=15 aligned

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