If the State Fiscal Officer shall so delay approval of the estimate for any agency, or if they shall so reduce and revise the estimate of any agency, in a manner which in the judgment of the executive head of such agency jeopardizes the effectiveness and efficient operation of said agency, a hearing shall be afforded by the State Fiscal Officer to the executive head of any such agency. The Legislative Budget Committee shall be notified of such hearings and the committee or its members may attend such hearings in order to give it adequate information on which to base any recommendations it may desire to submit to the Legislature.