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It isn't a real cost in that that's not what the school pays to house feed and educate student athletes.
No one actually pays the full cost of out of state tuition. Inevitably it is discounted.
UConn pays $40k+ for those students.
This isn't hard to figure out. The true cost per student is published. It is $45,750 per student. Add in room & board. What does it cost to house, feed, pay utilities? If the school charges $13k a year, let's say they are making a big profit (which I doubt). Let's say it only costs them really $7k. You're over $50k a year per student.
The tax subsidies, research subsidies, endowments and grants subsidize that $45k to bring it down to $17k for in-state students, and $40k for out of state students.
The school together with the state have calculated how many out of staters they will take, how many they need, according to how many in-state students the state taxpayers are willing to subsidize. Since OOS tuition is so close to the true cost, the school figures that it is only subsidizing OOS with some research and endowment money, so essentially, it pays to have more OOS.
If you then foist the lost income for these OOS athletes onto the academic side, it's a loss for them.
Every single AD in the country does it this way--except for possibly North Carolina, though the move to make it all instate is highly controversial down there precisely because the politicians realize it will be a loss to the school's academic budget.