Final answer:
The best response to symptomatic children who have ingested topical imidazolines is observation only. Activated charcoal, IV antibiotics, and endoscopy are not appropriate treatments in this case.
Step-by-step explanation:
When considering the appropriate response to symptomatic children who have ingested topical imidazolines, one must assess the severity and type of symptoms presented. Imidazolines can lead to serious systemic effects, including central nervous system depression and cardiovascular effects. The best course of action among the provided options would be observation only. Neither activated charcoal administration, intravenous antibiotics, nor immediate endoscopy are typically indicated for this type of ingestion. Activated charcoal is not effective for imidazoline ingestions due to its properties and the rapid absorption of imidazolines. Antibiotics are not used because this is not an infectious scenario, and endoscopy is not indicated simply based on ingestion alone.