Start learning →

If the feasible region is unbounded, a maximum or minimum value:

AMay not exist
BMust always exist
CMust be negative
DMay be duplicated
Answer & Solution
Correct answer: A. May not exist
1. An unbounded region stretches away without limit in some direction. 2. The objective function may simply keep growing along it. 3. If the region is unbounded, a maximum or minimum may not exist. 4. So existence has to be checked rather than assumed. _Source: syllabus Mathematics Part II, Ch 12 'Linear Programming'_
Practise this question with Quill — JEE Main →

Keep practising Linear Programming

Browse all Linear Programming questions for JEE Main, or explore more Mathematics topics.

Start a Linear Programming lesson →