In business, all else equal, Michigan will open more doors, than Michigan State. However, MSU students get many excellent jobs, and if you really apply yourself and get involved, you can probably do just as well as a Michigan graduate or even better.
The most important things are to choose your major carefully (you need to like it and it needs to be employable), keep your grades up, build friendships and social connections, get involved in business clubs, create a linkedin profile early, and work to get summer internships, approach professors you like about getting a research experience, spend a semester studying abroad, attend opportunities to listen to visiting speakers. Basically, you are working to build a rich social network, and well-rounded resume from the beginning of freshman year. I also recommend that you take more computer science and statistics than you are required to take. Those two skills will help you assess data in all areas of business.
If you do all of those things, you will be way ahead of a Michigan student who only went to classes for four years.