(f) To provide projects or parts thereof for elderly persons of low income;
(g) To provide housing for families of low income in rural areas in accordance with provisions set forth in section twenty-seven;
(h) To undertake and provide relocation projects in order to house for a limited period families who are displaced by an urban renewal project or other public improvement involving the elimination of dwelling units whenever such project or public improvement is determined upon and it or an urban renewal agency finds that there exists in the city or town an acute shortage of housing and that there are no adequate means available for immediate relocation of persons and families displaced from that project area;
(i) To lease, operate and, subject to section thirty-two, establish or revise schedules of rents for any project or part thereof undertaken by it; and