Your math is (relatively) sound but I don't think you understand how trivial the work required for this would be. It's pretty universally known that engineers

Your math is (relatively) sound but I don't think you understand how trivial the work required for this would be. It's pretty universally known that engineers are horrible at estimating their tasks but this particular app is so simple as to be impossible to overestimate. It literally would take less than a day for a (half)-competent engineer (and maybe 1 designer/artist) to do the work for this (I won't give you the task breakdown but I'll say the task list is short). So the answer is probably more in line with the other associated costs as you mentioned. Another just as likely (and as simple) answer; they charged some know nothing bureaucrat a ton because that's how it works in DC.