(b) On the day after a city confirms a resolution of the board of supervisors pursuant to paragraph (a), the mayor or the city clerk shall send a written notice of such confirmation to the clerk of the board of supervisors of the county. He shall also send a copy of such notice to the county commissioner of social services and the county commissioner shall thereupon notify the department.

(c) If a city in the county social services district shall confirm the resolution of the board of supervisors in accordance with the provisions of paragraph (a), the county social services district shall, on and after the effective date of such confirmation be responsible for administration of public assistance and care in such city, and thereafter all provisions of this chapter as to the powers and duties of a city in a county social services district and of city social services officers shall be inoperative in such city.

(d) Unless and until a city in the county social services district shall confirm the resolution of the board of supervisors in accordance with the provisions of paragraph (a), the responsibility of such city for assistance and care in its territory shall not be affected by such resolution, and the city shall be governed by the provisions of this chapter and other laws relating to cities which form part of a county social services district and to city social services officers; and the city shall continue to be responsible for the cost of public assistance and care under the provisions of subdivision two of section sixty-nine, except as otherwise provided in title three-a of this article. The cost of any assistance and care given to local charges residing or found in such city, paid by the county social services district under the provisions of subdivision three of section sixty-nine, shall be a charge on the county social services district. 3. The board of supervisors shall make such additional appropriations and authorize the appointment of such number of deputy commissioners, other assistants and employees as it may deem necessary to provide adequate administration of the public assistance and care for which the county social services district is made responsible under the provisions of this section.