Mich. Comp. Laws § 45.16
Each organized county shall, at its own cost and expense, provide at the county seat thereof a suitable courthouse, and a suitable and sufficient jail and fireproof offices and all other necessary public buildings, and keep the same in good repair. However, and notwithstanding the provisions of section 11 of Act No. 156 of the Public Acts of 1851, as amended, being section 46.11 of the Compiled Laws of 1948, a jail may be located anywhere in the county. Before the plan of any jail which has been duly authorized to be built shall be determined or accepted, or contracted for, the plan shall be submitted to the department of corrections for its examination and opinion, and such department shall carefully examine and give the benefit of its study and experience in such matter to the counties submitting such plans and report its opinion to the county clerk of the county so submitting plans. No contract for the erection of any county jail shall be valid or binding, nor shall any money be paid out of the county treasury for the construction of a jail until such opinion has been filed with the county clerk of the county submitting such plans.
MCL 45.16