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MHT CET202016 Oct 2020Morning ShiftMathematicsLinear ProgrammingActual

The minimum value of Z =5 x+8 y subject to x+y 5,0 x 4, y 2, x 0y 0 is

Options

  1. A40
  2. B36
  3. C31
  4. D20

Correct answer

C. 31

Step-by-step solution

(C) Required area is shaded. Co-ordinates of vertices are C (4,1) ; D (4,2) and P (3,2) Z =5 x +8 y Z_ (C) =20+8=28 Z _ ( D ) =20+16=36Z_ (P) =15+16=31 Minimum value will be 28 .

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