The department of public health and human services shall:
(1) consult with and advise organized efforts by communities, organizations, associations, and groups that are working toward any forms of assistance to problems of aging;
(2) study and identify problems of aging;
(3) review existing programs for the aging and make recommendations to the governor and the legislature for improvements in the programs;
(4) encourage the sponsorship of community projects which will seek to make optimum use of the time and talents of retired persons;
(5) coordinate, through area councils on aging, the delivery of community-based care, including but not limited to home health care, homemaker services, foster home care, nutrition, transportation, winterization, information and referral, and recreation.