Convex programming

Consider the following convex programming problem. Maximize f(x)=10×1-2×1^2-x1^3+8×2-x2^2subject to x1+x2<=2 andx1>=0, x2>=0A. Use the KKT conditions to demonstrate that (x1, x2)=(1,1) is NOT an optimal solution. B. Use the KKT conditions to derive an optimal solution.

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