If an optimum does exist on an unbounded region, where must it occur?
AAt a casual point
BAt a corner point
CAt a central point
DAt a curved point
Answer & Solution
Correct answer: B. At a corner point
1. Unboundedness threatens whether an optimum exists at all.
2. It does not change where one would have to sit if it does.
3. If it exists, it must occur at a corner point of the region.
4. The corner point theorem still applies.
_Source: syllabus Mathematics Part II, Ch 12 'Linear Programming'_
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