The person who makes the application shall pay a fee in the amount set by resolution of the Council to the Clerk to cover the cost of issuing the permit and supervising, regulating, and inspecting the work, and making necessary engineering studies. If the property to be connected to a public sewer has not been assessed for any part of the costs of construction of the public sewer, or has been assessed only as an unimproved lot, the owner shall pay a special fee to the Clerk for the use of the public sewers before the permit is issued. The amount of this fee shall be an equitable portion of the cost of the public sewers in relation to the benefits received by the property, but in no event less than the sum of $250.00 for each direct benefit factor, and shall be determined by the Superintendent subject to approval, modification, or revocation by the Council at its next regular meeting.