Question: 4. Consider the following NLP problem: subject to Maximize x1 + x2 X1 x2 + 1 9 16 4 a. Find the Lagrangian. What

4. Consider the following NLP problem: subject to Maximize x1 + x2 X1 x2" + 1 9 16 4 a. Find the Lagrangian. What is the sign of your Lagrange multiplier? b. Formulate the Lagrange relaxation. According to Dual Feasibility condition, what must be satisfied by an optimal solution?

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