(a) When the bonds have been approved by the voters at the election authorizing the levy of taxes, the commissioners court shall impose a property tax for the benefit of the district. The tax rate must be sufficient to create an interest and sinking fund to pay the principal of and interest on the bonds as they become due.
(b) After investigation and consideration of the annual report in accordance with § 282.061, the commissioners court shall impose and collect taxes annually on all taxable property in the district. The amount of tax revenue:
(1) must be sufficient to maintain, preserve, and operate the district hospital and to pay all legal district debts and other obligations; and
(2) may not exceed two-tenths of one percent of the annual total assessed valuation of the district.