Yes, I've got friends working in that specific unit, so I know how fucked up it is. It's very much like giving palliative treatments to terminal patients. Only with the added shit sandwich that is social sector accounting: the city social services get more state level funding if they are able to place the kids in foster families. So they let people who can't handle the kids enlist as foster families (who get compensated for taking in the kids, but from a different budget moment) and when the foster parents who can't handle that shit get burned out, the kids are taken into the institution again, BUT since they WERE placed during the fiscal year, they still count as 1 placement.
Yes, the continual placement->re-institutionalisation->placement process makes the kids have it worse, due to getting that abandonment experience again and again. No, no money is saved, since the compensation to the foster families is more than the cost of 1 spot at an institution. In other words, trying to use management accounting practices in order to make the system more efficient makes the system less efficient AND undermines the entire fundamental rationale of the system.
I already have the exit date set, though. It's May 31st 2019 at the latest, Jan 1st 2016 at the earliest. The later date is the date when I'll earn my bachelor's* in medicine, the earlier date is when I, in the very best case, would start working at the university as an assistant. So I'll be doing this to get to working with patients asap. Also, I think paediatric subspecialties of oncology or psychiatry would be the only specialties that are harder to take than these teens. So it's all upwards from here.
* assuming I clear the selection criteria, not easy, but not impossible either. They grade us on e.g. basis of being able to explain cellular processes clearly and succinctly.