The governing body of any city or county which levies a transient guest tax pursuant to this act may establish a convention and tourism committee to make recommendations concerning the programs and expenditures for promotion of conventions and tourism. If the governing body decides to appoint a convention and tourism committee, the board of county commissioners or city governing body shall appoint 10 members to such committee, a majority of which shall be representatives of businesses coming within the terms of this act. In appointing such members, the board of county commissioners or city governing body shall attempt to create a representative balance of large and small businesses and businesses from the various geographic areas of such county. The board of county commissioners or city governing body shall provide, by resolution, for the method of appointment and the length of the term of members. The length of term shall not exceed four years. The board of county commissioners or city governing body levying such tax shall have the authority to contract for convention and tourism programs to be implemented.