Question: Consider the following optimization problem: Minimize: X 2 1 + X 2 2 Subject to: X 1 + X 2 = 3 Check the second

Consider the following optimization problem:

Minimize: X²₁ + X²₂

Subject to: X₁ + X₂ = 3

Check the second order condition using the Bordered Hessian Matrix. Determine if the optimal solution is a local constrained maximum or a local constrained minimum

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