Question: 6. Consider the problem Minimize f(X) = xI + x~ + xj + x~ subject to gl(X) = Xl + 2X2 + 3X3 + 5X4

6. Consider the problem Minimize f(X) = xI + x~ + xj + x~

subject to gl(X) = Xl + 2X2 + 3X3 + 5X4 - 10 = 0 g2(X) = Xl + 2x2 + 5X3 + 6X4 - 15 = 0

(a) Show that by selecting X3 and X4 as independent variables, the Jacobian method fails to provide a solution and state the reason.

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