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MHT CET202312 May 2023Evening ShiftMathematicsLinear ProgrammingActual

The maximum value of z=7 x+8 y subject to the constraints x+y 20, y 5, x 10, x 0, y 0 is

Options

  1. A150
  2. B160
  3. C110
  4. D180

Correct answer

B. 160

Step-by-step solution

Feasible region lies on the origin side of lines x+y=20, x=10 and on non-origin side of y=5 . Corner points of the feasible region are A (0,5), B (10,5), C (10,10) and D (0,20) z at A (0,5)=40 z at B (10,5)=110 z at C (10,10)=150 z at D (0,20)=160 Maximum value of z is 160 .

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