(a) The board of supervisors may determine, by resolution, that a portion of the county is in need of a site for the disposal of garbage and refuse and should be formed into a district.
(b) Upon making the determination under subdivision (a), the board of supervisors shall fix a time and a place for a hearing on the matter of the formation of the district, which time shall be not less than three weeks after the adoption of the resolution. The board of supervisors shall also direct the clerk of the board to publish a notice once a week for three successive weeks in a newspaper which is circulated in the territory that is proposed to organize into a district and which the board deems most likely to give notice to the inhabitants of the territory.