JEE Main · MathematicsEasy
If the feasible region of an LPP is unbounded, then the maximum value of the objective function:
- A.Must be zero
- B.Must be infinity
- C.May or may not exist
- D.Is always equal to the minimum value
Show correct answer & step-by-step solution
Correct answer: C — May or may not exist
Solution
- Consider an LPP where the feasible region is unbounded.
- The objective function may increase or decrease without bound as we move along the region.
- However, depending on the slope of the objective function, a maximum or minimum value may still be attained at a corner point.
- Since the existence of an optimal value depends on the specific objective function, it is not guaranteed.
- Hence the answer is (C).
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