A. The board shall consist of six members, each of whom shall reside within the boundaries of the authority, appointed as follows:
(1) three board members appointed by the Clovis city commission for a term of two years; provided, however, that two of the initial members shall be appointed for a term of one year for the purpose of having a staggered board;
(2) two board members appointed by the Portales city council for a term of two years; provided, however, that one of the initial members shall be appointed for a term of one year for the purpose of having a staggered board; and
(3) one board member appointed for a term of one year on a rotating basis and in the following order by:
(a) the Texico city council; and
(b) the Elida town council.
B. A vacancy occurring by other than expiration of a term shall be filled in the same manner as the original appointment, but only for the unexpired term.