Mich. Comp. Laws § 331.1205
If, in accordance with sections 201 and 202, a majority of all the votes cast upon the question are in favor of establishing a corporation, or if no vote of the electors is required for the establishment of a corporation pursuant to section 201 or 204, the county board of commissioners may incorporate a corporation in order to implement or further the public purposes stated in section 102 through the exercise of all or some of the powers provided in this act. The board of trustees of a corporation may incorporate 1 or more subsidiary corporations in order to implement or further the public purposes stated in section 102 through the exercise of all or some of the powers provided in this act. The county board of commissioners shall adopt a suitable name for any corporation which it incorporates. The board of trustees of a corporation shall adopt a suitable name for any subsidiary corporation which it incorporates.
MCL 331.1205