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MHT CET202314 May 2023Evening ShiftMathematicsLinear ProgrammingActual

The shaded region in the following figure represents the solution set for a certain linear programming problem. Then linear constraints for this region are given by

Options

  1. Aaligned 2 x+3 y 6,-x+2 y & 2,3 x+6 y 18, x-3 y & 3, x 0, y 0 aligned
  2. Baligned 2 x+3 y 6,-x+2 y & 2, x-3 y 3 x+2 y & 18, x 0, y 0 aligned
  3. Caligned 2 x+3 y 6,-x+2 y & 2,3 x+6 y 18 x-3 y & 3, x 0, y 0 aligned
  4. Daligned 2 x+3 y 6,3 x+6 y & 18, x-3 y 3 -x+2 y & 2, x 0, y 0 aligned

Correct answer

D. aligned 2 x+3 y 6,3 x+6 y & 18, x-3 y 3 -x+2 y & 2, x 0, y 0 aligned

Step-by-step solution

Shaded region lies on origin side of 3 x+6 y=18, x-3 y=3,-x+2 y=2 and on non-origin side of 2 x+3 y=6 . aligned & 2 x+3 y 6,3 x+6 y 18, x-3 y 3, & -x+2 y 2, x 0, y 0 aligned

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