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1. Prove that x* = (1, 1/2, -1) is optimal for the optimization problem min (1/2)xPx+q¹x+r s.t. 1≤ x ≤ 1, i = 1,2,3, where 13 12 -2 -22.0 P = 12 -2 6 17 6 12 q = -14.5 r = 1. 13.0

Fig: 1