Show That X 1 X 2 X 3 1 2 0 Is A Kkt Point Of The Following Problem Maximize X 1

Show that x1, x2, x3 = (1,2,0) is a KKT point of the following problem.

Maximize (x1)2 + (x2)2 + (x3)2

Subject to

2×1 + x2 <= 5

x1 + x3 <= 2

x1 >= 1

x2 >= 2

x3 >= 0

(NOTE: DON’T forget to verify primal feasibility.)

Prof. Angela

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