The following expenses incurred for an Alaska Pioneers' Home or Alaska Veterans' Home resident under this chapter and not recoverable from a collateral source are a debt of the resident to the state and may be recovered during the life of the resident:
(1) costs of standard or nursing care provided in the home each month to the resident not exceeding the rate established by the department under AS 47.55.030, with credit given for any amounts paid by or collected from the resident;
(2) allowances paid under AS 47.55.020(c);
(3) arrearages in fees for television and telephone services provided in the home; and
(4) costs of prescription medicine.