Income qualification for admission to project. Exception

(a) No family shall be admitted to a dwelling unit in any project of an authority or be permitted to continue to occupy any such dwelling unit whose family income exceeds, respectively, the income limit for admission to such dwelling unit or the income limit for continued occupancy thereof. (b) Notwithstanding the provisions of subsection (a) of this section, an authority may, with the approval of the public works commissioner, admit families facing eviction from a low rental project of the authority because of overincome to any project of the authority in which there is an undue number of vacancies, provided each such family's income shall be within the income limit for continued occupancy thereof.