I guess I have two problems with this type of analysis. First and foremost is the idea that college athletics should be profitable. I'm not sure where it comes from and it is relatively recent. If the university doesn't think athletics are valuable enough to make a finacial contribution, they should simply drop their programs. It really is that straight forward. Lots of D-3 programs operate at much smaller budgets, too and they make no pretense of covering their costs. Those schools have made a determination that having football, or basketball or baseball or whatever is something positive for the college and they fund athletics.
My second problem is facilities costs. Generally speaking, I believe that capital spending is a university responsibility (and depending on the state and the nature of the speciific state's budget, the state government responsibility). An expanded football stadium is a university responsibility every bit as much as a new physics building is. And ought to be paid for the same way. As a practical matter, the typical undergraduate probably gets as much direct access to some new high tech physics lab as he does to the football stadium. Maybe less. It would also mean that football stadiums (and basketball practice gymnasia for that matter) would have to compete for funding with physics buildings and that would require them to demonstrate their value on a regular basis.