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प्रश्न
Consider a LPP given by
Minimum Z = 6x + 10y
Subjected to x ≥ 6; y ≥ 2; 2x + y ≥ 10; x, y ≥ 0
Redundant constraints in this LPP are
पर्याय
x ≥ 0, y ≥ 0
x ≥ 6, 2x + y ≥ 10
2x + y ≥ 10
none of these
उत्तर
We need to minimize the function Z = 6x + 10y
Converting the given inequations into equations, we obtain
These lines are drawn using a suitable scale
Scale
On X axis
1 Big division = 1 unit
On Y axis
1 Big division = 1 unit
The shaded region represents the feasible region of the given LPP.
We observe that the feasible region is due to the constraint \[x \geq 6, y \geq 2\]
So, the redundant constraint is \[2x + y \geq 10\]
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