Vaccine math. $500 per shot?

I'm reading up on the $1.9 trillion "stimulus." This caught me eye:

 Biden's plan would set out $160 billion for a nationwide vaccine program that would help state and local governments get the vaccine into people's arms.

There are 328 million people in the US. $160 billion is just about exactly $500 per person. 

Now, I am of the view that the government should have spent a lot more on vaccines, testing, public health and so forth, given the $5 trillion and counting it has cost the government, and more in lots GDP, jobs, years of school and so forth. This is likely the least bothersome line in the bill. 

Still, has the US really gotten to the point of health care sclerosis and dysfunction that it costs $500 -- on top of money already allocated -- to give someone a shot?  

from The Grumpy Economist https://ift.tt/2NbMGv6