Clever, but the gender inversion, and a lot of the rest, is heavily pictorial.
You are right, in the long run, the schools could save themselves by letting the teachers contract individually for their salaries and let them select the classroom materials themselves. (The school textbook scheme is just a big scam anyway, it was exposed by Prof Feynmann when he sat on the committee and watched as people raved about a book that was not yet published, as the reviewers had a book with a cover but blank pages.)
I guess I am saying its time for the teacher's union to go. Individual negotiations with teachers will get better teachers, (for higher pay) and the education system will be self repairing. THe other approach is vouchers but that will take longer as first you must expose all the bad schools and replace them one at a time.