(a) In connection with a housing project located wholly or partly within its jurisdiction, a public body may contract with a housing authority or with the federal government relating to any amounts that the housing authority or the federal government agrees to pay to the public body during the contract period for the improvements, services, and facilities furnished by the public body for the benefit of the housing project. The amount of those payments may not exceed the estimated cost to the public body of the improvements, services, or facilities.
(b) The absence of a contract for those payments does not relieve the public body from the duty to furnish for the benefit of the housing project the customary improvements and any services and facilities that the public body usually furnishes without a service fee.