Where, in respect of a function of the Authority which was formerly performed by the Department, an amount received by the State is or includes an amount paid in advance on account of anything to be done by the State in performing that function, and that thing was not done by the State before the commencement of this Act, there is payable to the Authority by the State an amount that the Minister, having regard to all matters that he or she considers relevant, determines in writing as being payable because of the receipt of the first-mentioned amount.