Each person granted a Shellfish Culture Permit or a Shellfish Mariculture Permit must pay an annual fee of five dollars an acre for the bottoms on which he has been granted shellfishing rights, or five dollars an acre of water surface determined at mean high water delineated on the permit map, or both, when waters above permitted bottoms are also permitted. In the case of bottoms, the annual permit fee must be based on the number of bottom acres producing or capable of producing shellfish. The annual fee for shellfish permits must be prorated from the first of the month following the issuance of the permit to February 1 next. Thereafter, all annual fees are payable in advance. On February 1, the department must invoice each permittee. If the annual fee is not paid by March 1, the department must add a late penalty of ten percent. If the department does not receive the fee and any penalty on or before April 1, the permit is void.