(a) accept and process applications for additional state payments to be made pursuant to this title;
(b) determine eligibility for and the amount of additional state payments in accordance with this title;
(c) redetermine eligibility periodically as the office may require; provided, however, that any such redeterminations shall be no more frequent than provided by the applicable regulations of the United States social security administration; and
(d) take all other actions necessary to effectuate the provisions of this title. 2. If there is in effect an agreement for the federal administration of additional state payments, the state shall be responsible for paying to the secretary an amount equal to: (a) the amount expended under the state's programs of old age assistance, assistance to the blind and aid to the disabled during the calendar year, nineteen hundred seventy-two, less any federal funds properly received on account of such expenditures; plus (b) any amounts in addition to such sum as may be required by the agreement.