(a) Two members of the board of trustees shall be appointed by the board of supervisors. These two members shall be qualified electors who reside within the supervisors district in which the facility is located.
(b) One member of the board of trustees shall be appointed by the board of supervisors and shall be a qualified elector not a resident of the supervisors district in which is located the proposed facility.
(c) Any municipality joining the authority, either during organization or afterwards, shall appoint two members of the board of trustees who shall be qualified electors in the municipality appointing them.
(d) One of the members of the board of trustees appointed under (a) above and one of the members of the board of trustees appointed under (c) above shall be appointed for an initial term of five years, but all other appointments shall be for a term of four years, or until appropriate successors in office have been appointed and have accepted appointment.
(e) At any time the membership of a board of trustees composed as outlined herein is of an equal number, the trustees themselves shall select, from any part of the county, one member at large who shall have all the rights and privileges as any other member and who shall serve for a period of four years.
(f) Members of the board of trustees of the authority may succeed themselves.
(g) No member shall be appointed by the board of supervisors who is not a qualified elector and bona fide resident of the county.