Question: Problem 2 (30%). Consider the following nonlinear programming problem: Maximize Z= 2x + 2x2 + 4x3 x3, subject to 2x1 + x2 + x3 0,

Problem 2 (30%). Consider the following nonlinear

Problem 2 (30%). Consider the following nonlinear programming problem: Maximize Z= 2x + 2x2 + 4x3 x3, subject to 2x1 + x2 + x3 0, x2 > 0, x3 > 0. (a) Write down the KKT conditions. (b) Use the KKT conditions to determine whether (X1, X2, X3)=(1, 1, 1) can be optimal. Please show your steps

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