Eligible lists shall be established by the director either by means of a meeting of producers in each district, or by means of mail ballot, or by a combination of meetings and mail ballot. The method to be used shall be determined by the director, except that a mail ballot shall be granted upon a written request of 10 percent of the producers. Each producer is entitled to one vote and voting by proxy is not permitted. From nominations which are made, not less than three eligible persons shall be selected for each member of the committee. Any person that is nominated shall be a producer with producing property which is located within the district for which he is nominated.