Is there a minimum number of points a person should take in during the day? For example, I am permitted up to 34 points max right now. Is there a minimum number I should take in?
When you figure what your daily points number is, that should then be your minimum. If you go below that minimum, your body may choose to hold on to everything you eat and not let you lose, may even cause you to gain. If your weight says 26 points, eat 26 points!
Yes the DAILY points is the MINIMUM number of points then you can supplement it with activity points and weekly (aka flex points). This daily point is the bare minimum as Kelly stated.
No, you aren't allowed up to 34 points, that is the amount you must have each day. You can earn more through exercise or use flex points, but you must consume the minimum every day.