What mode does the autothrottle ENGINE-OUT Mode operate in to maintain maximum torque on the remaining engine?

The autothrottle ENGINE-OUT Mode operates in a way that prioritizes maintaining maximum torque on the functioning engine. This is crucial in situations where one engine fails, as maximizing the thrust from the remaining engine is essential for safe flight and control of the aircraft.

In Takeoff Mode, the autothrottle is set to provide maximum thrust during takeoff, which is critical for ensuring a positive climb rate. In Climb Mode, the system similarly aims to mitigate any loss of performance due to an engine failure by ensuring that the remaining engine produces as much thrust as possible for continued ascent.

Go-Around Mode is used during landing when an aborted landing necessitates a return to climb. This mode also triggers the autothrottle to provide maximum thrust to ensure a safe climb away from the runway.

Since all these modes—Takeoff, Climb, and Go-Around—focus on maximizing performance in flight-critical phases, the autothrottle ENGINE-OUT Mode effectively operates in all of these modes to maintain maximum torque on the remaining engine. This explains why the correct answer encompasses all of the options provided.