Before final adoption of the school administrative unit budget as provided in N.H. Rev. Stat. § 194-C:9, at least one public hearing shall be held within the school administrative unit, at a time and place specified by the school administrative unit board chairperson, upon a preliminary budget prepared by the school administrative unit board. Notice of such public hearing and a summary of the preliminary budget shall be submitted by the secretary of the board for publication in a newspaper of general circulation in the school administrative unit at least 7 days prior to the date of the hearing. The budget, subsequent to its final approval by the school administrative unit board, shall be posted in a public place in each constituent school district and given such other publication as the school administrative unit board may determine.