Michigan Compiled Laws, Chapter 404. Welfare and Charity § 404.2

Sec. 2.(1) If the county boards of commissioners of 2 or more counties determine, by separate action of each board, that a joint county medical care facility is to be constructed, each board shall appoint 3 members to serve as members of the board of trustees of the joint county medical care facility.Each county board of commissioners shall appoint trustees for identical terms. Until the effective date of the amendatory act that added subsection (2),  1 each county board of commissioners shall appoint individuals who qualify as provided for the office of member of the county social welfare board. On and after the effective date of the amendatory act that added subsection (2), each county board of commissioners shall appoint individuals who qualify as provided in subsection (4). The board of trustees of the joint county medical care facility shall cooperate with the department of licensing and regulatory affairs in the construction and equipment of the facility.

(2) For a joint county medical care facility that is in existence on the effective date of the amendatory act that added this subsection,  1 within 30 days after the effective date of the amendatory act that added this subsection and subject to subsection (4), each county board of commissioners shall appoint 1 individual to serve as an additional member of the board of trustees of the joint county medical care facility. A member of the board of trustees of the joint county medical care facility who holds office on the effective date of the amendatory act that added this subsection may continue in office until he or she resigns or otherwise vacates the office or until the expiration of his or her term.

(3) For a joint county medical care facility that is in existence on the effective date of the amendatory act that added this subsection,  1 all of the following apply to the county board of commissioners responsible for filling a vacancy attributable to a member of the board of trustees who held that office on the effective date of the amendatory act that added this subsection:

(4) For an appointment under subsection (1) or (2) or for an appointment to fill a vacancy in the board of trustees of a joint county medical care facility, which appointment occurs after the effective date of the amendatory act that added this subsection,  1 the county board of commissioners responsible for appointing the member or filling the vacancy shall appoint an individual who qualifies based upon criteria established by the county board of commissioners.