The budget shall be prepared in tentative form by the board and in such form shall be made available to public inspection for at least 15 days prior to final action thereon, by having at least 5 copies thereof on file in the office of the secretary of the board. Not less than 5 days after such copies are so placed on file and prior to final action thereon, the board shall hold at least 2 public hearings thereon, of which notice shall be given at least once by publication in a newspaper having general circulation in the city at least 5 days prior to the time of the hearing. The board shall arrange for and hold such public hearing or hearings, provided that the final public hearing shall occur not less than 5 days prior to the Board’s final action on the budget. The board shall cause its budget to be published in its proceedings within 30 days after its adoption.