I don't have the airplane manuals in front of me, but from memory I seem to recall that sideline noise levels and such measured at certification based on SOP flight profiles as set forth by certification for climb performance, etc. If those numbers exceeded the airport noise levels...seems reduced thrust departures, if safe, possible, might be the next 'tool' to use...personally I'd consider telling the boss, 'do you want a high deck angle or a noise fine'...which would probably lead to a discussion, options, and the obvious solutions. Reduced power, high deck angle...