Mich. Comp. Laws § 801.85

Sec. 5. (1) A prisoner in a county jail shall cooperate with the county in seeking reimbursement under this act for expenses incurred by the county for that prisoner. (2) A prisoner who willfully refuses to cooperate as provided in subsection (1) shall not receive a reduction in his or her term under section 7 of 1962 PA 60, MCL 801.257. If a prisoner is ordered to reimburse the county under this act as a probation condition entered pursuant to section 3 of chapter XI of the code of criminal procedure, 1927 PA 175, MCL 771.3, the prisoner is in addition subject to probation revocation as provided in section 4 of chapter XI of the code of criminal procedure, 1927 PA 175, MCL 771.4.