Question 50
MediumOriginal questionRead the two statements and choose the correct option.
I. If the feasible region is bounded, the objective function has both a maximum and a minimum on it.
II. If the feasible region is unbounded, the objective function has no minimum on it.
Show the answer and explanation
CorrectNot quiteAnswer A
Correct answer: A
Explanation
On a bounded region both optimum values exist and occur at corner points, so I is true.
An unbounded region can still have a minimum (or a maximum); it has to be checked, so II is false.
- Concept
- Bounded and unbounded regions
- Typical timeTypical
- 90 s
- Your timeYours
- —
Practise this chapter →
Ten questions from Linear Programming, at your own pace.