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MHT CET20226 Aug 2022Morning ShiftMathematicsLinear ProgrammingActual

Cost function Z given by Z =4 x +6 y is to be minimized. The fessible region for this function Z is the shaded region represented in the following figure. Then the minimum value of Z is and occurs at the point )

Options

  1. A260,(20,30)
  2. B240,(0,40)
  3. C100,(25,0)
  4. D254,(14,33)

Correct answer

D. 254,(14,33)

Step-by-step solution

Here corner points are (80,0),(0,80) and (14,33) Z is minimum at (14,33) and Z _ =4 14+6 33=254

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