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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
A linear programming problem (LPP) along with the graph of its constraints is shown below. The corresponding objective function is
Minimize: $Z=3 x+2 y$. The minimum value of the objective function is obtained at the corner point ( 2 , 0).
The optimal solution of the above linear programming problem $\qquad$
Image
  • A
    does not exist as the feasible region is unbounded.
  • B
    does not exist as the inequality $3 x+2 y<6$ does not have any point in common with the feasible region.
  • C
    exists as the inequality $3 x+2 y>6$ has infinitely many points in common with the feasible region.
  • ✓
    exists as the inequality $3 x+2 y<6$ does not have any point in common with the feasible region.
✓

Answer

Correct option: D.
exists as the inequality $3 x+2 y<6$ does not have any point in common with the feasible region.
exists as the inequality $3 x+2 y<6$ does not have any point in common with the feasible region.

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