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MHT CET202015 Oct 2020Morning ShiftMathematicsLinear ProgrammingActual

The minimum value for the LPP Z =6 x+2 y , subject to 2 x+y 16, x 6, y 1 is

Options

  1. A44
  2. B47
  3. C24
  4. D34

Correct answer

A. 44

Step-by-step solution

Here A (8,0), B (0,16) lie on 2 x + y =16 When y=1, x= 15 2 i.e. E ( 15 2 , 1 ) When x=6, y=4 i.e. F(6,4)Z(E)=6 15 2 +2 1=47Z(F)=6 6+2 4=36+8=44

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