The department shall:
(1) INSTITUTIONS GOVERNED. Maintain and govern the Mendota and the Winnebago mental health institutes; the secure mental health facility established under s. 46.055; and the centers for the developmentally disabled.
(2) SUPERVISION OVER PROPERTY. Supervise, manage, preserve and care for the buildings, grounds and other property pertaining to said institutions, and promote the objects for which they are established.