Mich. Comp. Laws § 330.1302: Financial liability of county.

Sec. 302.

Except as otherwise provided in this chapter and in subsection (2), a county is financially liable for 10% of the net cost of any service that is provided by the department, directly or by contract, to a resident of that county.

This section does not apply to the following:

Family support subsidies established under section 156.

A service provided to any of the following:

( i ) An individual under a criminal sentence to a state prison.

( ii ) A criminal defendant determined incompetent to stand trial under section 1032.

( iii ) An individual acquitted of a criminal charge by reason of insanity, during the initial 60-day period of evaluation provided for in section 1050.