Question: Consider optimization problem min 2x^2 + 2xy + y^2 -10x -10y such that x^2 + y^2

Consider optimization problem min 2x^2 + 2xy + y^2 -10x -10y such that x^2 + y^2 <= 5, 3x+y <=6. Solve it via KKT conditions by first checking if it satisfies the required assumptions. Also find the dual of this problem

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