A field goal from 50 yards is from the 33 yard line (33 + 10 + 7). So, I think it is extremely easy to see (without even crunching the numbers), that you shoul

A field goal from 50 yards is from the 33 yard line (33 + 10 + 7). So, I think it is extremely easy to see (without even crunching the numbers), that you should hardly ever punt if it is 4th and 1 yard and you are between the 50 and the opponent's 33. Of course this depends on the strength of your defense and the strength of your opposing offense. Most punts will only gain you 10-30 yards from there (touchback to the 20). If your opponent has a high producing offense those 10-30 yards are not worth very much in comparison to the chance at 3 or 7 points.