Mich. Comp. Laws § 90.7
Every such judgment shall be executed by virtue of an execution or warrant, specifying the particulars of the judgment. If the judgment be for the payment of a fine only, with or without costs, execution of the form prescribed in section 3 of this chapter shall issue forthwith. If judgment be for both fine and imprisonment, a warrant shall issue immediately for the commitment of the defendant until the expiration of the term mentioned in the sentence, and an execution shall issue at the same time against the goods and chattels of the defendant for the collection of the fine or forfeiture imposed; but in neither case above mentioned shall the imprisonment without payment operate as a satisfaction of the fine and costs imposed. In cases where a fine and imprisonment in default of payment thereof, or where imprisonment alone is imposed, a warrant of commitment shall issue accordingly, in the former case, until the expiration of the sentence, unless the fine and costs be sooner paid, and in the latter, for the term named in the sentence.
MCL 90.7