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Solve the following problem: maximize x2 y2 +xy 1 subject to x 0: (a) State the Kuhn-Tucker rst order conditions for a maximum point (4

Solve the following problem: maximize x2 y2 +xy 1 subject to x 0: (a) State the Kuhn-Tucker rst order conditions for a maximum point (4 point) (b) Solve the problem and give the value of the function at the solution.(4 point)

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