A method of producing a variable thrust cutback of an aircraft during aircraft departure is provided. The method includes the steps of storing expected sound exposure levels for an aircraft in memory, and storing a sound exposure level limit for a navigation flight in memory. The method also includes the steps of determining aircraft altitude and determining aircraft airspeed. The method further includes the steps of computing an engine thrust value that complies with the sound exposure level limit based on the altitude, airspeed and the sound exposure levels, and outputting the computed engine thrust value for use in controlling the aircraft during departure.