Mathematics · Linear Programming
If the feasible region of a Linear Programming Problem (LPP) is bounded, which one of the following holds TRUE?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The optimal value of the objective function always exists at a corner point of the bounded feasible region; if it exists at two corner points, it remains the same at every point on the line segment joining them.✓
- 2The optimal value of the objective function may or may not exist.
- 3The optimal value of the objective function exists at an interior point of the bounded feasible region only.
- 4The optimal value of the objective function exists only at a unique point.
Correct answer
The optimal value of the objective function always exists at a corner point of the bounded feasible region; if it exists at two corner points, it remains the same at every point on the line segment joining them.
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