The following officers and employees of the City shall be exempt from classified service:
(a) All officers elected under this Charter;
(b) All officers and members of boards or commissions whose appointment is subject to concurrence by Council or who are appointed by Council;
(c) The Chief of Police and the Chief of the Fire Department;
(d) The heads of any departments or sub-departments that may be created by Council under this Charter;
(e) All unskilled labor; and
(f) All employees whose service is but casual.