The city owns and manages the city swimming pool. The City Council, for the purpose of defraying the cost of the management, maintenance and improvements of the swimming pool may each year levy a tax not exceeding the maximum limit prescribed by state law on the actual valuation of all real estate and personal property within the city that is subject to taxation. The revenue from the said tax shall be known as the “Swimming Pool Fund” and shall include all gifts, grants, deeds of conveyance, bequests or other valuable income-producing personal property and real estate from any source for the purpose of endowing the swimming pool. The Swimming Pool Fund shall at all times be in the custody of the City Treasurer. The City Administrator, working in conjunction with the Parks and Pool Committee, shall provide overall supervision of the swimming pool. The City Administrator shall have the power and authority to hire and supervise the swimming pool manager and such employees as he or she may deem necessary and shall pass such rules and regulations for the operation of the swimming pool as maybe proper for its efficient operation. All actions by the City Administrator shall be under the supervision and control of the City Council.