Question: Consider the following nonlinear programming problem: Maximize f(x) X1 X2 + l' subject to x1 - x2 = 2 and xi 20, X2 20. a)

Consider the following nonlinear programming

Consider the following nonlinear programming problem: Maximize f(x) X1 X2 + l' subject to x1 - x2 = 2 and xi 20, X2 20. a) Use the KKT conditions to demonstrate that (x1, x2) = (4, 2) is not optimal. b) Derive a solution that does satisfy the KKT conditions

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