Which station detail would involve providing sustenance to detainees?

The choice of "food for prisoners" is directly associated with the responsibility of providing sustenance to detainees. This role typically involves ensuring that individuals in custody receive adequate meals, which is a crucial aspect of maintaining their basic rights and well-being while in detention.

Providing food for prisoners is an essential function in correctional facilities, as it not only meets the nutritional needs of detainees but also complies with legal and ethical standards that protect their rights while incarcerated. Ensuring proper sustenance reflects the commitment to humane treatment and can also impact the overall conduct of those in custody, as adequate nutrition contributes to their physical and mental health.

The other options do not pertain as directly to the responsibility of providing sustenance to detainees. While "station detail" might cover various administrative or operational tasks at a law enforcement facility, and "missing juvenile" deals specifically with the issue of locating and recovering minors who are missing, "illegal peddling" addresses unlawful selling activities rather than the provision of food. Thus, "food for prisoners" is the most appropriate choice regarding the context of providing sustenance to detainees.