(1) Upon determination by the county department of social services that the place of domicile of an individual receiving care under section 5117 is in another county in this state, care shall be provided where the individual is found at the expense of the county where the individual is domiciled. The county department of social services, not later than 1 month after the commencement of care, shall mail written notice that the care is being provided to the local department of social services of the individual’s county of domicile. The local health department of the county of domicile may provide for the return of the individual to, and care in, that county.
  (2) If the domicile of the individual is not acknowledged by the alleged county of domicile within 1 month after mailing the notice under subsection (1), the question of domicile may be submitted for decision to the state department of social services. If a disputed or contested claim arises between 2 or more counties as to the county of domicile, the director of social services shall determine the county of domicile when so requested or on his or her own motion. The decision of the director of social services is final. However, pending determination, the county in which the individual is found shall provide the necessary care.