Sec. 3. (a) A cumulative building fund for the establishment, enlargement, construction, acquisition, equipping, or remodeling of county hospital buildings may be established in accordance with this article.
(b) The board may petition the county executive to levy a tax to establish the fund, setting out in the petition the amount of the proposed tax levy and the number of years for which the tax is to be levied. The county executive shall approve or disapprove the petition and, if approved, establish the amount of the tax levy and the term to be levied.