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MHT CET202311 May 2023Evening ShiftMathematicsLinear ProgrammingActual

The maximum value of z =3 x+5 y subject to the constraints 3 x+2 y 18, x 4, y 6 , x, y 0 , is

Options

  1. A27
  2. B36
  3. C42
  4. D30

Correct answer

B. 36

Step-by-step solution

Objective function z =3 x+5 y The comer points of the feasible region are O (0,0), A (4,0), B (4,3), C (2,6) and D (0,6) Z at A (4,0)=12 Z at B (4,3)=27 Z at C (2,6)=36 Z at D (0,6)=30 Maximum value of Z is 36 .

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