Ind. Code § 16-23-1-44

Sec. 44. A city hospital operating under this chapter may operate jointly with a county hospital in the same county created under IC 16-22-13. Joint operation may include joint employment of an administrator and other personnel, joint policies, joint purchases, joint services, and other programs to reduce the costs of health care. The board of directors of the city hospital may contract with the hospital board of the county hospital to provide for the manner of allocation of revenues and expenditures and the administration of the hospitals. Records must reflect the separate ownership, financial obligations, and existence of the city hospital and the county hospital.