If the adjustment school is organized, established, equipped, and maintained by only one county or city and county, the entire expense of the school shall be borne by the county or city and county, and the board of supervisors, or other governing body of the county or city and county shall make due and annual provision therefor. The necessary items of expense shall be set forth in the annual budget of the county or city and county.
Ca. Welf. and Inst. Code § 984