The Director of State Hospitals may reduce, cancel, or remit the amount to be paid by the estate or the relatives, as the case may be, liable for the care and treatment of any person who is an alcoholic or who has a mental health disorder and who is a patient at a state hospital, on satisfactory proof that the estate or relatives, as the case may be, are unable to pay the cost of that care and treatment or that the amount is uncollectible.