Mich. Comp. Laws § 404.1
Any 2 or more counties within this state no one of which has a population of 1,000,000 or more persons may co-operate for the establishment, maintenance and operation of a joint county medical care facility. The board of supervisors of any county may appoint a committee to confer with a like committee similarly chosen by the board of supervisors in any other county or counties and may appoint a committee of 3 for the purpose of selecting a site for a joint county medical care facility. At such meeting the committees shall organize into a joint committee and shall select 1 of the members of such committee chairman and a second member secretary. A full report of the results of such meeting shall be made to the board of supervisors of each county concerned at the last ensuing meeting thereof. Thereupon each said board of supervisors shall have the power to take action with reference to the establishment, maintenance and operation of such joint county medical care facility, as is granted by the statutes of this state with reference to the construction of a medical care facility by a single county, in so far as such provisions are applicable.
MCL 404.1