The department shall develop a system for charging local units of government or other authority as defined in s. 345.28 (1) (a) for the cost of the development and operation of the traffic violation and registration program under ss. 341.08 (4m), 341.10 (7) and (7m), 341.63 (1) (c), 345.28 (4) and 345.47 (1) (d) based on the number of transactions processed by the local unit of government or other authority. A notice under s. 345.28 (4) submitted by an authority with respect to unpaid towing and storage charges shall be considered a separate transaction for purposes of this section. No notices under s. 345.28 (4) submitted by an authority or under s. 345.47 (1) (d) submitted by the court may be processed by the department unless the local unit of government or other authority involved has paid the department the appropriate amount determined by the department under this section.