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. Consider the following optimization problem min ( x 1 2 ) 2 ( x 2 3 ) 2 s . t . g 1

. Consider the following optimization problem
min (x12)2(x23)2
s.t. g1 : 3x12x2+6<=0
g2 : x1+ x23<=0
g3 : x12<=0
(a) Derive the Lagrangian dual problem
(b) Write KKT conditions
(c) Identify the points satisfying KKT conditions
(d) Identify maximum/minimum points

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