Each member for each district shall be elected by a plurality of votes cast by producers in the district. Each producer who has grown fresh grapes in a district in the year preceding any election shall be entitled to two votes in such district, one for each of two nominees. In the first election after the effective date of this chapter, each producer entitled to vote in a district shall be entitled to six votes in such district, one for each of the six nominees, and the six nominees receiving the greatest number of votes shall be nominated for appointment as the members of such district for the initial terms hereunder. In the event of a tie vote which shall result in failure to nominate two persons for each commission membership available, there shall be another election held only between those nominees, the tie vote for whom resulted in such failure to so nominate required number of nominees.