Upon certification of the commission, the director shall contact all producers in each district by mail, or call meetings of producers in each district, for the purpose of nominating and electing persons to the commission. All producers on the director’s list shall be given written notice of any election meetings at least 10 days prior to the meeting date. To be eligible for election to the commission, producer nominees shall present to the director a nomination petition with the signatures of at least three eligible producers from the district from which the nominee is seeking election.