^ That's the level of intelligence all these modern doohickeys we use to text each other, rather than actually speak to each other, have managed to bring about.
Such a PC should deliver the desired results, but I can't help but wonder why the FPS goal is so low... 30FPS is basically the minimum for a game to be considered playable at all. Keep in mind that due to the low resolution of the display, game performance will weigh heavily on the CPU-dependent side.
As has been mentioned, if we know your actual budget, we might be able to create a more powerful PC. See here for info on how to ask for build suggestions: http://www.tomshardware.com/forum/261222-31-build-advice