Mathematics · Optimization Theory
In the Kuhn-Tucker conditions for constrained optimization with inequality constraints, the complementary slackness condition states that:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The Lagrange multiplier must always be positive
- 2Either the constraint is binding (equality holds) or the corresponding Lagrange multiplier is zero, but not both can be non-zero simultaneously✓
- 3All inequality constraints must be active at the optimum
- 4The objective function must be convex
Correct answer
Either the constraint is binding (equality holds) or the corresponding Lagrange multiplier is zero, but not both can be non-zero simultaneously
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