Consider the problem min$\mathrm{.}5w^{TT}w$ subject to $w^{TT}x2.$ Derive the LaGrangian Dual problem by introducing the LaGrange multiplier. Write it carefully as the max of the min of the LaGrangian. You do not have to solve it as a calculus problem.

Draw a picture showing the contours and constraints in the $2-$dimensional case where $x=-2,5$ labelling the axes and indicating the approximate location of the solution.