I have a maximization problem which is given below:
\begin{alignat}{2} &\!\max_{x,y} &\qquad& {x+2y}\\ &\text{subject to} & & {x^2+y^2} = 1\\ & & & \end{alignat}
And I need to convert it into a minimization problem. Here is what I think should be the solution: \begin{alignat}{2} &\!\min_{x,y} &\qquad& {-x-2y}\\ &\text{subject to} & & {-x^2-y^2} = -1\\ & & & \end{alignat} Does that sound right?