Mathematics · Mathematical Economics
Given the objective function y = f(x1, x2, ..., xn) and the constraint g(x1, x2, ..., xn) = 0, let |H̅| represent the bordered Hessian determinant. The sufficient condition for a constrained maximum is that the signs of the bordered Hessians alternate starting with:
- 1|H̅2| < 0, |H̅3| < 0, ...
- 2|H̅2| > 0, |H̅3| < 0, ...✓
- 3|H̅2| 0, ...
- 4|H̅2| > 0, |H̅3| > 0, ...
Correct answer
|H̅2| > 0, |H̅3| < 0, ...
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