Knowing the federal government, I can easily imagine it costing MORE than $50/taxpayer. Just we don't pay for something directly doesn't mean it's free.
This is an ideological knee jerk response, it’s not true that only the private sector can create software systems. There are 143 million taxpayers in the United States. If each one pays 50 dollars then that’s seven billion, 150 million dollars per year. I think they probably come with some way to do it a bit cheaper than that.