5. Consider the problem: Maximize f(X) = xi + 2x~ + lOxj + 5X1X2 subject to gl...

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5. Consider the problem:

Maximize f(X) = xi + 2x~ + lOxj + 5X1X2 subject to gl (X) = Xl + x~ + 3X2X3 - 5 = 0 g2(X) = XI + 5XIX2 + x~ - 7 = 0 Apply the Jacobian method to find af(X) in the neighborhood of the feasible point (1, 1; 1).

Assume that this neighborhood is specified by ogl = -.01, ag2 = .02, and aXI = .01

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