Mathematics · Calculus & Optimization
Consider constrained optimization: Maximize f(x, y) subject to g(x, y) = 0 using the Lagrangian method. Which of the following statements are CORRECT? (A) The Lagrangian is L = f(x, y) + λg(x, y) (B) At the optimum, ∂L∂x = 0, ∂L∂y = 0, ∂L∂λ = 0 (C) The bordered Hessian is used to determine the nature of the stationary point (D) The Lagrange multiplier λ has the interpretation of shadow price Choose the correct answer:
- 1A, B, C and D✓
- 2A and B only
- 3B, C and D only
- 4A, B and D only
Correct answer
A, B, C and D
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