The committee shall be composed of the Lieutenant Governor, the members of the Senate Committee on Finance and Taxation and such other members of the Senate as appointed by the Lieutenant Governor. The committee shall further be composed of the Speaker of the House of Representatives, the members of the House Committee on Ways and Means and such other members of the House of Representatives to be appointed by the Speaker of the House; provided, however, that the total committee membership from the House of Representatives shall not exceed 36 members. The Chairman of the Senate Committee on Finance and Taxation and the Chairman of the House Ways and Means Committee shall be co-chairmen. The said co-chairmen shall each appoint one vice co-chairman and shall set the schedule and program for committee work. The said co-chairmen shall fix the days and hours of meetings and conduct hearings and examine witnesses who appear before the committee. Each co-chairman may appoint sub-committees and invest them with such authority as may be deemed necessary to conduct the committee's business and expedite its work. Members appointed to any sub-committee shall each be entitled to, and shall receive compensation as is provided for below for members of the Permanent Joint Legislative Committee on Finances and Budgets for each day said members attend a sub-committee meeting that is not also a meeting day of the committee. Said sub-committee members shall not be paid for more than 30 additional calendar days in any single calendar year for work of said sub-committee.