Special permits may be supplied by the department and issued by the county treasurer for truck-tractor and semitrailer combinations of farmers or ranchers used wholly and exclusively to carry their own supplies, farm equipment, and household goods to or from the owner's farm or ranch or used by the farmer or rancher to carry his or her own agricultural products to or from storage or market. Such special permits shall be valid for periods of thirty days and shall be carried in the cab of the truck-tractor. The fee for such permit shall be equivalent to one-twelfth of the regular commercial registration fee as determined by gross vehicle weight and size limitations as defined in sections 60-6,288 to 60-6,294, but the fee shall be no less than twenty-five dollars. Such fee shall be collected and distributed in the same manner as other motor vehicle fees.