If the person were given choice of working 30 days for 1 cent first day, 2 cents next, 4 cents next, and so on, every day doubling amount earned on previous day; or being paid $1000 first day, $2000 the next, $3000 the next and so on, every day adding $1000 to amount on previous day, that offer must they take? How much would they make under every arrangement? You should verify the conclusions mathematically.