No function, facility, duty or power of any city, town, village, school district or other district or of any officer thereof is or shall be transferred, altered or impaired by this Charter.
The County shall have power to contract (a) with any public corporation, including, but not limited to, a municipal, district or public benefit corporation, public authority or combination of the foregoing, and (b) for the establishment, maintenance and operation of any facility or the rendering of any service which each of the contracting parties would have legal authority to establish, maintain, operate or render for themselves. The costs and expenses incurred, as well as charges for central facilities and administrative services relating to such entities, shall be borne proportionately by each such contracting party, as agreed upon by the parties.