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3. (25 points) max2x1x12+5x2x22 s.t. x1+x26x14x218x1,x20 a) Write down the KKT conditions and Lagrange function. b) You are given the information that the optimal solution does not lie on the boundary of the feasible region. Use this information to derive the optimal solution from the KKT conditions. 3. (25 points) max2x1x12+5x2x22 s.t. x1+x26x14x218x1,x20 a) Write down the KKT conditions and Lagrange function. b) You are given the information that the optimal solution does not lie on the boundary of the feasible region. Use this information to derive the optimal solution from the KKT conditions