Prove that x* = (1, 1/2, -1) is optimal for the optimization problem minimize (1/2)xT Px + qT x + r subject to -1 ≤ xi ≤ 1, i = 1, 2, 3, where P = [13, 12, -2; 12, 17, 6; -2, 6, 1], q = [-14; 5; 1], r = 1.
a) x* is optimal
b) x* is not optimal
c) Depends on constraints
d) Not enough information provided