Consider the Following Nonlinear Programming Problem

question 6

Essay

Consider the following nonlinear programming problem.Maximize Z = ,subject to 2x₁ + x₂ + x₃ ≤ 4 and x₁ ≥ 0,x₂ ≥ 0,x₃ ≥ 0.
(a)Use the KKT conditions to determine whether = (1,1,1)can be optimal.
(b)If a specific solution satisfies the KKT conditions for this problem,can you draw the definite conclusion that this solution is optimal? Why?

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