A hen will lay an egg a day. Egg famers control their light and have them on eight day weeks.
They start laying at six months old and work for a year. The young hens lay small eggs. As they age they eventually lay medium eggs, then large, then extra large, then jumbo, then they become soup.
Interesting. Once upona time I graded eggs, but never thought much about where they came from.
Also, I kept some roosters for a while. Found they LOVED mice! They would grab a live mouse and wolf it down like a snake.
I don’t know where you can find a healthy laying hen for that cheap a cost. They can lay up to every 26 hours under optimum conditions, with adequate light and health. They lay for more than a year but the production does go down after 18 months. Some still lay at 7 years of age, just not very often.