The Board shall authorize the holding of a referendum as set forth in this article. The Commissioner shall be fully empowered and directed to hold and conduct a referendum on the question of whether or not the producers of apples in the Commonwealth are willing to pay an excise tax on apples to support additional research, education, publicity, and industry development of the apple industry. The amount of tax to be voted upon in the referendum shall be 2.5 cents ($0.025) per tree run bushel of apples grown by producers in the Commonwealth. The cost of conducting a referendum under this section shall be paid by the Virginia State Horticultural Society.