The board of county commissioners of Sedgwick county shall authorize an expenditure per annum for allowed expenses incurred in the operation of public youth residential and detention facilities.

The administration and control of such facilities shall be under the supervision of the board of county commissioners. The board of county commissioners shall set an annual budget of the costs and expenses for the purchase, improvement, operation and maintenance of the facilities and payment of salaries of staff members. The board of county commissioners shall levy a tax as in the case of providing for other expenses of the county on the assessed taxable valuation of the county for such purpose and to pay a portion of the principal and interest on bonds issued under the authority of Kan. Stat. Ann. § 12-1774, and amendments thereto, by cities located in the county.