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MHT CET202416 May 2024Morning ShiftMathematicsLinear ProgrammingActual

Maximum value of Z =100 x+70 y Subject to 2 x 4, y 3, x+y 8, x, y 0 is

Options

  1. A800 .
  2. B940 .
  3. C400 .
  4. D710 .

Correct answer

A. 800 .

Step-by-step solution

The feasible region lies on the origin side of y=3 and x+y=8 , and on non-origin side of 2 x=4 , in the first quadrant. The corner points of the feasible region are A (2,0), B (8,0), C (5,3) and D (2,3) . Z =100 x+70 y At A(2, 0), Z= 200 At B( 8,0 ), Z=800 At C(5,3), Z= 710 At D(2, 3), Z= 410 Maximum value of Z is 800 .

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