Question: (10+5+10+5 = 30 pts) Consider the following minimization problem with an inequality constraint: min x2(x - 2) +3 subject to x2 > 2 where x1,

(10+5+10+5 = 30 pts) Consider the following

(10+5+10+5 = 30 pts) Consider the following minimization problem with an inequality constraint: min x2(x - 2) +3 subject to x2 > 2 where x1, x2 R. (a) Write down the KKT conditions for the problem (b) Find all points that satisfy the conditions. Check whether or not each point is regular (must show why) (c) Determine whether or not the regular point(s) in part (b) satisfy the second-order necessary condition (d) Determine whether or not the point(s) satisfying the SONC in part (c) also satisfy the second-order sufficient condition

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