The Finance Advisory Committee shall consist of the Governor, the Lieutenant Governor, the Treasurer, the Comptroller, two Senate members of the joint standing committee of the General Assembly having cognizance of matters relating to appropriations and the budgets of state agencies appointed by the president pro tempore of the Senate, not more than one of whom shall be of the same political party, and three House members of said committee appointed by the speaker of the House of Representatives, not more than two of whom shall be of the same political party. In addition, the president pro tempore shall appoint two Senate members of said joint standing committee, not more than one of whom shall be of the same political party, and the speaker shall appoint three House members of said committee, not more than two of whom shall be of the same political party, to serve as alternate members of the Finance Advisory Committee. An alternate member shall serve on the Finance Advisory Committee in the absence of a regular member of the same political party and house of the General Assembly. The president pro tempore and the speaker shall make their respective appointments to the Finance Advisory Committee upon the convening of the General Assembly in each odd-numbered year. The legislative members of said committee shall serve until the convening of the next regular session of the General Assembly in an odd-numbered year. The committee shall meet regularly on the first Thursday of each month and at such other times as the Governor designates. The committee shall furnish an agenda for each meeting to its legislative members and to the Office of Fiscal Analysis at least seven calendar days prior to the meeting.