1
Question
If the feasible region for an LPP is _____________, then the optimal value of the objective function z = ax + by may or may not exist.
Open in App
Solution
For unbounded feasible region,
the solution point may tend to infinity or does not exist.
Hence, if the feasible region for an LPP is
unbounded,
i.e. x → ∞ or y → ∞
or x → −∞ or y → −∞
then z = ax + by → ±∞
i.e. z = ax + by may or may not exist
the solution point may tend to infinity or does not exist.
Hence, if the feasible region for an LPP is
unbounded,
i.e. x → ∞ or y → ∞
or x → −∞ or y → −∞
then z = ax + by → ±∞
i.e. z = ax + by may or may not exist
Suggest Corrections
0
