Any person who is arrested or cited by the Police Department for driving a vehicle while under the influence of alcohol or any drug and who is subsequently convicted of such an offense, shall be assessed a cost recovery fee for the purpose of reimbursing the City for all costs incurred by the Police Department which were related to the making of that arrest or issuance of that citation. In addition, if such driver caused an accident while under the influence of alcohol or any drug, the cost recovery fee assessed shall also include any additional costs which were incurred by the Police or Fire Departments in responding to that accident.