I'm not a financial aid officer but I am a recent college graduate so maybe I can help. When you fill out the FAFSA, you receive an Expected Family Contribution (EFC) amount which is the amount the student (or parent) is expected to be able to contribute toward tuition and college expenses. This amount is determined by a federal formula. From there, loan amounts ate determined based on the EFC and the student's status as a dependent or independent student. If the student (like my case) is independent, they are eligible for higher supplementary loan amounts. Pell Grants may also be available as well.
It is MY understanding that since the loans are federal loans, they are determined by the government. For example, a couple of years ago, Obama made changes to the loan amounts available that made it necessary for me to attend summer classes full time and I had to pay out of pocket for some of my tuition due to the changes in how and when the funds could be distributed.
Here in Georgia, academically outstanding students are eligible for a State funded HOPE grant, so that would be handled by the state. The only financial aid or tuition issue that would be controlled by the school would be scholarships , to the best of my knowledge. I hope my answer (while clear as mud) helped a little!
Maybe My Sister's Princess will see this and chime in since she's pretty familiar with this type of question.