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COMEDK2024MathematicsLinear Programming

The maximum value of Z=5 x+y , subject to constraint x 0, y 0, x+y 6,2 x+y 10 is

Options

  1. A28
  2. B31
  3. C22
  4. D25

Correct answer

C. 22

Step-by-step solution

aligned & z=5 x+y & z(0,0)=0 & z(0,6)=0+6=6 & z(5,0)=25+0=25 (Maximum) & z(4,2)=20+2=22 aligned

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