1. The council shall have and possess, and the council and its members shall exercise all executive, legislative and judicial powers and duties now had, possessed and exercised by the mayor, city council, city attorney, assessor, treasurer, collector, city engineer and other executive and administrative officers in cities of the third class and in cities under special charter with a population less than thirty thousand, and shall also possess and exercise all executive, legislative and judicial powers and duties now had and exercised by the board of police and fire commissioners, the board of public works, park commissioners, the board of waterworks trustees in all cities wherein such boards now exist or may be hereafter created. The executive and administrative powers, authority and duties in such cities shall be distributed into and among five departments as follows:

(1) Department of public affairs;

(2) Department of accounts and finance;

(3) Department of public safety;

(4) Department of streets and public improvements;

(5) Department of parks and public property.

2. The council shall determine the powers and duties to be performed by and assign them to the appropriate department; shall prescribe the powers and duties of officers and employees; may assign particular officers and employees to one or more of the departments; may require an officer or employee to perform duties in two or more departments; and may make such other rules and regulations as may be necessary or proper for the efficient and economical conduct of the business of the city.