In the event any referendum conducted as provided in this article shall fail to receive the required number of affirmative votes from egg producers eligible for participation and voting therein, then the certified association conducting the referendum shall be authorized to call another referendum for the purposes set forth in this article in the next succeeding year, on the question of an assessment and promotional program for the period authorized by this article, but no such referendum shall be held within a period of 12 months following the date on which the last referendum was held. In the event such referendum is carried or favored by the required number of eligible voters participating therein, and assessments in pursuance thereof are levied for the period set forth in the call for the referendum, then the organization conducting such referendum shall have power and authority to call and conduct during or after the last year of such period another referendum in which egg producers shall vote upon the question of whether or not such assessments shall be continued or renewed for another period of time, as authorized under this article. Any subsequent referendums shall be subject to all of the requirements of an original referendum conducted under the provisions of this article. The first referendum held under this article shall authorize the collection of assessments for a period not to exceed five years, and subsequent referendums may authorize such assessment for three-year periods.