Question: Consider the following nonlinear programming problem: Maximize Subject to x1 x2 ¤ 2 and x1 ¥ 0, x2 ¥ 0. (a) Use the KKT conditions

Consider the following nonlinear programming problem:
Maximize
Consider the following nonlinear programming problem: Maximize Subject to x1 €“ x2 ‰¤

Subject to
x1 €“ x2 ‰¤ 2 and
x1 ‰¥ 0, x2 ‰¥ 0.
(a) Use the KKT conditions to demonstrate that (x1, x2) = (4, 2) is not optimal.

f(x) =-11 2 + 1

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a KKT condition For x 1 x 2 4 2 from 2a u 13 and this violates 2b so 42 is not optimal b Try ... View full answer

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