Final answer:
The Odyssey was composed around the 8th century BCE, specifically around 700 BCE, during the Greek Dark Ages.
Step-by-step explanation:
The Odyssey was composed around the 8th century BCE, during what is known as the Greek Dark Ages. This period also corresponds to the Homeric Age, and it's when the epic poems, the Iliad and the Odyssey, purportedly originated from the songs of oral poets before being transcribed using the Greek alphabet by scribes for the first time. Historians widely accept that these epics, including the Odyssey, were composed around 700 BCE, therefore, the correct answer to when the Odyssey was composed would be B) 700 BCE.