I've been invited to give feedback to all Parsons students, regarding your thesis projects.
You've done a great job of laying out the design problem and solution, and you've provided a good amount of detail with respect to how this concept would function in the real world, considering the larger system in which it lives.
The issues associated with food are very interesting as they involve human nutrition and environmental inputs AND consequences. It's great when you can see the cycle of it all and then find a method of growing fresh food for human consumption, which then goes back to the earth for fuel (via compost magic) to grow more food, etc etc.
Taking this ecological perspective to school food programs is a wonderful idea, especially when the students can get involved in the composting and growing processes themselves. Being accountable here results in responsibility for something larger than self. As a result, I believe the students would feel a well-earned sense of self-worth, and would voluntarily eat more healthfully too. Bonus!
Good luck getting this rolling, J.