Question: Consider the following optimization problem: min x-2x1x2 + 6x + 2x1 #1,#2 s.t. 1+2 10 Is it a convex optimization problem? Why? (10 points)

Consider the following optimization problem: min x-2x1x2 + 6x + 2x1 #1,#2 s.t. 1+2 10 Is it a convex optimization problem? Why? (10 points) Write down the Lagrangian function and KKT condition. (10 points) Determine the KKT point. Is it a local optimum or a global optimum? (10 points)

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