I get that it does not go to the person who did it without pay. How did they come with an amount? Does the FAA have a price sheet for "inspections"? Pretty sure they do not as this is normally a government service that the airline would not pay for. Does the FAA have a bank account where they can deposit money (vs one normally used to spend money)

And, if people can pay for a government service while the government is shut down - why not let citizens pay to visit the Smithsonian? (just one random example)