(a) A superintendent who is the chief school officer of a district and who holds a certificate appropriate for the position shall receive as a salary the amount for which that superintendent qualifies under § 1316 of this title and the schedule set forth in § 1305(a), (b) and (d) of this title, plus an annual amount for administrative responsibility. The amount for administrative responsibility is to be determined either in accordance with the following schedule, or by multiplying the appropriate index value specified in the second schedule by the annual salary provided under § 1305(a), (b) and (d) of this title, whichever is greater: