The Department shall constitute the sole agency of the State for the purpose of:
(1) making an inventory of existing hospitals and medical facilities, surveying the need for construction of hospitals and medical facilities, and developing a program of construction as provided in sections 1805-1807 of this title; and
(2) developing and administering a State plan for the construction of public and other nonprofit hospitals and medical facilities as provided in sections 1808-1814 of this title.