A constraint in an LP model becomes redundant because: - Vidyadip

Question

A constraint in an LP model becomes redundant because:

✓

Answer

None of the above

Solution:
A constraint in an LP model becomes redundant when the feasible region doesnt change by the removing the constraint.
For example, $\text{x}+2\text{y}\leq20$ and $2\text{x}+4\text{y}\leq40$ are the constraints.
$2\text{x}+4\text{y}\leq40$
$\Rightarrow2\times(\text{x}+2\text{y})\leq2\times20$
$\Rightarrow\text{x}+2\text{y}\leq20$
which is same as the first constraint.
Therefore, $2\text{x}+4\text{y}\leq40$ can be removed.
By removing this constraint feasible region doesnt change.

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