Chris, what kind of company are you looking for exactly?
A "producer" is a job title, for a person who manages a game project.
A "manufacturer" is a company that duplicates disks or hardware, or stamps out plastic boxes.
You can learn about those terms in the Game Biz Glossary: http://www.sloperama.com/advice/lesson28.htm
And what is "an undergrad position" exactly? Do you mean a full-time job, or an internship? And where are you located? California, Washington, Texas... Idaho, the Canary Islands...?
Look up game companies using gamedevmap and gameindustrymap.
And read these: