please do a) and c)

q 6.15 Consider the optimization problem in R2 given by 3 .2 P: Min f(x) = x2 s.t. x + x3 1 - Answer the following questions: (a) Is there a (global) optimum x? (b) If so, does any constraint qualification hold at x? (c) Is x a KKT point? q 6.15 Consider the optimization problem in R2 given by 3 .2 P: Min f(x) = x2 s.t. x + x3 1 - Answer the following questions: (a) Is there a (global) optimum x? (b) If so, does any constraint qualification hold at x? (c) Is x a KKT point