failed or refused to comply with the employment obligation in the agreement under subsection (b), the recipient may request that the Secretary reconsider such initial determination and may submit additional information to demonstrate satisfaction of the employment obligation. Upon receipt of such a request, the Secretary shall reconsider the determination in accordance with this paragraph not later than 90 days after the date that such request was received. (g) Directory The Secretary shall maintain a directory that lists the local educational agencies that meet the requirements of section 2(6). (h) Authorization of appropriations There are authorized to be appropriated to the Secretary such sums as may be necessary to carry out the program under this section. 5. Future designation study (a) In general The Secretary shall conduct a study to identify a formula for future designation of regions with a shortage of school-based mental health services providers to use in implementing grant programs and other programs such as the programs established under this Act or for other purposes related to any such designation. (b) Basis of formula The formula described in subsection (a) shall be based on the latest available data regarding an area served by a low-income local educational agency on— (1) the number of residents under the age of 18 in such area