Which of the following units supports and runs Air Force installations?

The Air Base Wing is the correct choice because this unit is specifically tasked with supporting and running Air Force installations. It provides essential support functions necessary for the operations and maintenance of the base, including logistics, civil engineering, security forces, and other vital services.

The Air Base Wing is designed to ensure that the facilities and services within the base operate efficiently and effectively, thereby allowing combat and support operations to function without disruption. This organizational structure is critical for the day-to-day management of Air Force bases and aligns with the mission to sustain airpower.

In contrast, while the Combat Wing focuses primarily on operational missions and executing combat-related tasks, it does not directly manage base operations. Other units, such as Functional Combatant Commands and Service Component Commands, have broader responsibilities that may include strategic and operational oversight of multiple installations or military branches but do not specifically handle the logistical and operational support that an Air Base Wing provides.