1. Consider the constrained optimisation problem below: min In (2 + x + y) s.t. 2r-y=0...

Transcribed Image Text:

1. Consider the constrained optimisation problem below: min In (2 + x² + y²) s.t. 2r-y=0 (a) Write the Lagrangean function and the respective first-order conditions. (b) Obtain the critical point. Using the bordered Hessian matrix (H), determine if it is indeed a minimum. 1. Consider the constrained optimisation problem below: min In (2 + x² + y²) s.t. 2r-y=0 (a) Write the Lagrangean function and the respective first-order conditions. (b) Obtain the critical point. Using the bordered Hessian matrix (H), determine if it is indeed a minimum.

Answer rating: 100% (QA)

1 a The Lagrangean function is Lxy 2x2y2 2xy Firstorder conditio... View the full answer