This is false. Where these methods can help you feel better and less drunk, it takes 24 hours for alcohol to completely dissapear form your blood stream. Eating before drinking can also help to feel less drunk but it does not prevent the effects of alcohol once it is in your bloodstream.
I assume you're asking how much money it costs the government. It costs them around 215 billion dollars each year. This money is spent on correctional facilities. It is also spent on paying employees. It is spent on a vast majority of other things as well.