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1. Consider the constrained optimisation problem below: min In (2 + x + y) s.t. 2r-y=0 (a) Write the Lagrangean function and the respective

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

1. Consider the constrained optimisation problem below: min In (2 + x + y) 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.

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