If there are 5mm people below the poverty line and they all make $1 under the limit then you can close the gap, and reduce the poverty rate to 0 by giving each

If there are 5mm people below the poverty line and they all make $1 under the limit then you can close the gap, and reduce the poverty rate to 0 by giving each person a dollar. If they are all making $10 below the limit then you can evenly distribute the money and reduce the gap by 10% while keeping the poverty rate the same. Or you can give all of the money to only 10% of the population and reduce the poverty rate by 10% while the gap remains the same.