There is hereby created within the Department of General Services the General Services Advisory Council. The council shall be composed of not to exceed 12 members who shall be state officers or public members appointed by the Director of General Services with the advice of agency administrators and department heads and who shall serve at the pleasure of the director. The Director of General Services shall serve as chairman of the council. The council shall be under the direction of the director and shall be wholly advisory in character and shall not be delegated any administrative authority or responsibility.