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Linear Programming — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsLinear Programming1 Mark
MCQ
If two constraints do not intersect in the positive quadrant of the graph, then.
  • ✓
    The problem is infeasible
  • B
    The solution is unbounded
  • C
    One of the constraints is redundant
  • D
    None of the above
✓

Answer

Correct option: A.
The problem is infeasible
Any linear programming problem must have the following properties:-1.
The relationship between variables and constraints must be linear2.
The constraints must be non - negative.3.. objective function must be linear.
Non - negativity conditions are used because the variables cannot take negative values.
i.e., it is not possible to have negative resources (land, capital, labour cannot be negative).
Because of the non - negativity condition, the feasible region exists only in I quadrant.

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