(A) Except as provided in division (B) of this section, in a city, a workhouse erected for the joint use of the city and the county in which such city is located shall be managed and controlled by a joint board composed of the board of county commissioners and the board of control of the city, and in a village by the board of county commissioners and the board of trustees of public affairs. Such joint board shall have all the powers and duties in the management, control, and maintenance of such workhouse as are conferred upon the director of public safety in cities, and in addition thereto it may construct sewers for such workhouse and pay therefor from funds raised by taxation for the maintenance of such institution. The joint board may lease or purchase suitable property and buildings for a workhouse, or real estate for the purpose of erecting and maintaining a workhouse thereon, but it shall not expend more than fifty thousand dollars for any such purpose unless such amount is approved by a majority of the voters of the county, exclusive of the municipal corporation, voting at a general election.