In order that there may be no unnecessary duplication of effort or expense, the authority may provide for the furnishing of services by, and the use of facilities of, any department, office or agency of the city in lieu of, or in conjunction with, the direct provision by the authority of services and the use of facilities through employment or purchase or other means. The furnishing of such services and the use of such facilities of any such department, office or agency shall be upon such terms and conditions as may be approved by the authority and the legislative body of the city, and subject to reimbursement of the appropriate funds of the city for the reasonable value thereof. The legislative body may, from time to time, by resolution, provide for the making by the authority to the city, annually, of a payment, the amount of which shall be determined in a manner provided by such legislative body, but which shall not exceed the amount the authority would be required to pay to the city in ad valorem taxes if it were a private entity owning the same property.