Consider the following NLP problem: min,f(x)=x_(1)^(4)+x_(2)^(4)+12x_(1)^(2)+6x_(2)^(2)-x_(1)x_(2)-x_(1)-x_(2) s.t. x_(1)+x_(2)=6 ,2x_(1)-x_(2)=3 and x_(1)=0,x_(2)=0 (a) What are the KKT conditions for this problem? (b) Verify whether x^(b)=(3,3) is the unique optimal solution.

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Consider the following NLP problem: min,f(x)=x_(1)^(4)+x_(2)^(4)+12x_(1)^(2)+6x_(2)^(2)-x_(1)x_(2)-x_(1)-x_(2) s.t. x_(1)+x_(2)>=6 ,2x_(1)-x_(2)>=3 and x_(1)>=0,x_(2)>=0 (a) What are the KKT conditions for this problem? (b) Verify whether x^(b)=(3,3) is the unique optimal solution.

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(Solved): Consider the following NLP problem: min,f(x)=x_(1)^(4)+x_(2)^(4)+12x_(1)^(2)+6x_(2)^(2)-x_(1)x_(2)-x ...

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