(A) The county budget commission shall adjust the estimated amounts required from the general property tax for each fund, as shown by the tax budgets or other information required to be provided under section 5705.281 of the Revised Code, so as to bring the tax levies required therefor within the limitations specified in sections 5705.01 to 5705.47 of the Revised Code, for such levies, but no levy shall be reduced below a minimum fixed by law. The commission may revise and adjust the estimate of balances and receipts from all sources for each fund and shall determine the total appropriations that may be made therefrom.

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(B) The commission shall fix the amount of the county public library fund to be distributed to each board of public library trustees that has qualified under section 5705.28 of the Revised Code for participation in the proceeds of such fund. The amount paid to all libraries in the county from such fund shall never be a smaller per cent of the fund than the average of the percentages of the county’s classified taxes that were distributed to libraries in 1982, 1983, and 1984, as determined by the county auditor. The commission shall base the amount for distribution on the needs of such library for the construction of new library buildings, parts of buildings, improvements, operation, maintenance, or other expenses. In determining the needs of each library board of trustees, and in calculating the amount to be distributed to any library board of trustees on the basis of its needs, the commission shall make no reduction in its allocation from the fund on account of additional revenues realized by a library from increased taxes or service charges voted by its electorate, from revenues received through federal or state grants, projects, or programs, or from grants from private sources.

(C) Notwithstanding the fact that alternative methods of financing such needs are available, after fixing the amount to be distributed to libraries, the commission shall fix the amount, if any, of the county public library fund to be distributed to each board of township park commissioners, the county, and each municipal corporation in accordance with the following:

(1) Each municipal corporation in the county shall receive a per cent of the remainder that equals the per cent that the county auditor determines the classified property taxes originating in such municipal corporation in 1984 were of the total of all of the county’s classified property taxes in 1984. The commission may deduct from this amount any amount that the budget commission allows to the board of township park commissioners of a township park district, the boundaries of which are coextensive with or contained within the boundaries of the municipal corporation.

(2) The county shall receive a per cent of the remainder that equals the per cent that the county auditor determines the classified property taxes originating outside of the boundaries of municipal corporations in the county in 1984 were of the total of all of the county’s classified property taxes in 1984. The commission may deduct from this amount any amount that the budget commission allows to the board of township park commissioners of a township park district, the boundaries of which are not coextensive with or contained within those of any municipal corporation in the county.

(D) The commission shall separately set forth the amounts fixed and determined under divisions (B) and (C) of this section in the “official certificate of estimated resources,” as provided in section 5705.35 of the Revised Code, and separately certify such amount to the county auditor who shall be guided thereby in the distribution of the county public library fund for and during the fiscal year. In determining such amounts, the commission shall be guided by the estimate certified by the tax commissioner and presented by the auditor under section 5705.31 of the Revised Code, as to the total amount of revenue to be received in the county public library fund during such fiscal year.

(E)(1) At least five days before the date of any meeting at which the budget commission plans to discuss the distribution of the county public library fund, it shall notify each legislative authority and board of public library trustees, county commissioners, and township park commissioners eligible to participate in the distribution of the fund of the date, time, place, and agenda for the meeting. Any legislative authority or board entitled to notice under this division may designate an officer or employee of such legislative authority or board to whom the commission shall deliver the notice.

(2) Before the final determination of the amount to be allotted to each subdivision from any source, the commission shall permit representatives of each subdivision and of each board of public library trustees to appear before it to explain its financial needs.

(F) If any public library receives and expends any funds allocated to it under this section for the construction of new library buildings or parts of buildings, such library shall be free and open to the inhabitants of the county in which it is located. Any board of library trustees that receives funds under this section and section 5747.48 of the Revised Code shall have its financial records open for public inspection at all reasonable times.