Sec. 20. A housing authority may:
(1) investigate living and housing conditions, and methods of improving those conditions;
(2) determine where slum areas exist or where there is a shortage of decent, safe, and sanitary dwelling accommodations for persons of low income;
(3) make studies and recommendations relating to the problems of clearing, replanning, and reconstructing slum areas, and of providing dwelling accommodations for persons of low income;
(4) cooperate with the state or any political subdivision in clearing, replanning, and reconstructing slum areas, and providing dwelling accommodations for persons of low income; and
(5) engage in studies and experimentation on the subject of housing.