Consider the following LP with $2$ decision variables: x and y$.$ The constraints are xy $<=2$ as well as x$,$ y$>=0.$

If the objective function is max x$+$y$,$ then $[$ Select $]$

If the objective function is max x$-2$y$,$ then $[$ Select $]$

If the objective function is min x$+$y$,$ then $[$ Select $]$