The provisions of the law with respect to the costs of commitment and the cost of support, including the prohibition in Section 41-21-65 regarding the charging of extra fees and expenses to persons initiating commitment proceedings, methods of determination of persons liable therefor, and methods of determination of financial ability, and all provisions of law enabling the state to secure reimbursement of any such items of cost, applicable to the commitment to and support of the mentally ill persons in state hospitals, shall apply with equal force in respect to each item of expense incurred by the state in connection with the commitment, care, custody, treatment, and rehabilitation of any person committed to the state hospitals and maintained in any institution or hospital operated by the State of Mississippi under the provisions of this chapter.