A department director shall be responsible for the property and supplies of the city within the director's department. The department director shall prepare and maintain a perpetual inventory of the property and supplies for which the department director is responsible and, from time to time during the fiscal year, file the inventory with the city clerk or other official designated by council. The city clerk or other designated official with whom the inventory is filed shall, upon request, transmit a copy of the inventory to the chief fiscal officer and council.