The sum of two non-negative numbers is 4. find the numbers if the sum of the square of one and the cube of the other is to be a maximum.

^ my brain is saying 2+2 here pals. i have no idea where to start. okay so, i was out most of the last week because i was sick. and now there's a test on this optimization weird application idea in my pre-calc class. i could probably figure this out if i needed to in a bizarre backwards way, but knowing how to find it properly with a procedure and all will very much.