No egg producer with over three thousand (3,000) hens nor any egg handler or dealer shall sell or offer for sale any lot of eggs produced, distributed or marketed in Mississippi upon which the assessment imposed herein has not been paid. The assessment imposed herein shall be paid at such time or times as is fixed by the board. In the event such assessment is paid by any dealer who is not a producer, the dealer may bill the producer of such eggs in the amount of the assessment paid by him.