Consider the following problem: Minimize subject to (?)+(x? ? 2) x?-x ? 0, x? + x? ? 6, X1, X? ? 0. a. Write the KKT optimal conditions and verify that these conditions hold true at the point x = = (3/2,9/4). b. Interpret the KKT conditions at x graphically. c. Show that x is indeed the unique global optimal solution.

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