Idaho Code § 31-3704
The management and operation of any hospital which is jointly owned by any county and city in this state may, by resolution of the board of county commissioners of such county and the city council of such city in all cases where both county and city are engaged in the joint operation of such hospital, and in other cases by resolution of either the board of commissioners of the county or the council of the city which is operating such hospital, be delegated to and vested in a board composed of five (5) electors of such county, to be known and designated as the "Hospital Board of .......... County."
The management and operation of any hospital or hospitals jointly owned or jointly operated by a joint county-city hospital authority shall be vested in a board of trustees consisting of not less than five (5) nor more than ten (10) members, as shall be specified in the agreement between the county and city creating such joint county-city hospital authority, which board of trustees shall be appointed and shall be subject to removal in the manner set forth in section 31-3705, Idaho Code.
Idaho Code § 31-3704