S.D. Codified Laws § 27B-3-37
If the administrator of a facility has cared for or maintained a person with a developmental disability from a county and the state's attorney or the county commissioners of the county claim that the person is not a proper charge against the county, the state's attorney or the county commissioners shall notify the attorney general that the person in the facility is a proper charge against another county, or against the state if the person in the facility is not a resident of the state. The attorney general shall notify the county auditor of the county to file any proof within thirty days from the date of such notification. Upon receipt of such, the attorney general shall investigate the location of the residence of the person in the facility to determine if a county and which county should be charged. The attorney general shall notify the county auditor and the director of the South Dakota Developmental Center of the determination. Thereafter, the administrator shall charge for supports and services according to the determination of the attorney general.
SDCL 27B-3-37