Question: (b) Consider the following nonlinear programming problem. Maximize f(x1,x2) = 2 -(x1 - 1)2 - ex Subject to x + x sa Where a is

(b) Consider the following nonlinear programming

(b) Consider the following nonlinear programming problem. Maximize f(x1,x2) = 2 -(x1 - 1)2 - ex Subject to x + x sa Where a is a positive constant (1) (ii) (111) Show that the problem is a convex programming problem. Write down the KKT conditions for this problem. Given that a = 2, determine optimal solution to the

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