The governor shall appoint an eleven-member advisory committee to the state agency on aging [aging and long-term services department] in accordance with the provisions of the Executive Reorganization Act N.M. Stat. Ann. § 9-1-1 to 9-1-10. In establishing the committee, the governor shall take note of any federal requirements regarding membership and shall appoint members for staggered terms of four years. Members of the committee shall be reimbursed for services as provided for in the Per Diem and Mileage Act N.M. Stat. Ann. § 10-8-1 to 10-8-8 and shall receive no other compensation, perquisite or allowance.