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?
Definitions:
Lab
Short for laboratory, a controlled environment where scientific research, experiments, and measurement are carried out.
Matrix
A surrounding substance or environment in which something else develops, operates, or is contained; in biology, the intercellular substance of a tissue.
Modified Wave
A scheduling strategy used in healthcare settings to allow for both walk-in and scheduled appointments, aiming to reduce waiting times and improve patient flow.
Cluster
A group of similar things or people positioned or occurring closely together.
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