For the purposes of representing this state on the governing board authorized by the agreement, there shall be four (4) representatives as follows:
(1) One (1) member appointed by the President Pro Tempore of the Senate;
(2) One (1) member appointed by the Speaker of the House of Representatives;
(3) One (1) member appointed by the Governor; and
(4) The Secretary of the Department of Finance and Administration or his or her designee.