Question: Consider the following nonconvex programming problem: Maximize f(x) = 3x1 x2 2x21 x32, Subject to and x1 ¥ 0, x2 ¥ 0. (a) If SUMT

Consider the following nonconvex programming problem:
Maximize f(x) = 3x1 x2 €“ 2x21 €“ x32,
Subject to
xỉ + 2r s 4 2x, - X2 X3 + xịx = 2

and
x1 ‰¥ 0, x2 ‰¥ 0.
(a) If SUMT were to be applied to this problem, what would be the unconstrained function P(x; r) to be maximized at each iteration?

x + 2r s 4 2x, - X2 X3 + xx = 2

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