Re: Video Game Producer Questions
Carnegie Mellon University offers a masters in Creative Management and Entertainment Technology, both of which are really good for aspiring producers. A bonus of the MET is you get a lot of hands team experience and teaches you enough about the basic areas so you can "plug the holes" so to speak. Grad school is a 2 year commitment and pricey, so try for an internship or associate producer position first.
Programming a Tetris, Snake, Pong or Breakout/Arkanoid clone should cover most of the basic programming concepts you'll need to know.