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Apply the KKT conditions to determine whether or not the solution XT = (1,1,1) is optimal...

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Advance Math

Apply the KKT conditions to determine whether or not thesolution XT = (1,1,1) is optimal for the following problem:

minimize 2X1 + X2^3 + X3^2

subject to

2X1^2 + 2X2^2 + X3^2 >=4

X1, X2, X3 >=0

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