(a) The board shall appoint a director to serve at the pleasure of the board. The director is accountable only to the board.
(b) The director may make recommendations and, when the board specifically requests, shall make recommendations on a matter before the board relating to a function or duty of any state institution, department, agency, officer, or employee.
(c) The director may not vote on a question or issue before the board.
(d) The board shall set the salary of the director.