Consider the following problem.
Minimize
9 + (x^2 - 2)^2 xz ~ xi > 0
subject to
x1 + x2 < 6, x1 >= 0, x2 >= 0
a. Is x = (9, 0) a KKT point?
Interpret the KKT conditions at x.
Show that x is indeed the unique global optimal solution.
Formulate the Lagrangian dual problem in which x = {(x1, x2): x1 + x2 < 6, x1 >= 0, x2 >= 0}