Because the alternative is that you're terrible at math.
According to[0], the costs of the pandemic for the German economy are from 255 to 729 billion euros. Taking the middle of 500 billion as a best guess, and a quick division will tell us that this app will be worth it if it stops one in every 25,000 infections.
Or, alternatively: this app costs about 0.25€ for every citizen, or about a quarter of one mask. That does not strike me as a terrible deal.
The point here isn't that this is a model for how all government procurement should be run. It is not.
It's that under the specific circumstances, overpaying is completely acceptable if it meant, for example, getting a contract signed a day earlier. Note that situation was obviously far worse when this project started than it is now.
[0]: https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&c...
Paying students €500 a month as emergency help will cost hundreds of millions and this is a single miniscule effort in a package of several hundred BILLION Euros.
Discussing the cost of this app with the given circumstances is a complete waste of time. It's a literal rounding error in the overall Corona bill for Germany alone.
And yes, the link is just the result of some hyperactive copy&paste.
I'll now try to enjoy the thought that the Germans are bickering about the price of this on HN. It's sort of a return to normalcy: the luxury of caring about pointless details precisely because the government isn't quite as incompetent as always assumed, at least compared to some others.
The well of criticism is endless. There are voices arguing that masks are useless, that 'Churchill wouldn't wear one' and that 'social distancing is communism'. Dealing with all of them will result in brain damage.
For a government project that is cheap! (25cent per citizen)
Edit: source for the 374 is the table on https://de.m.wikipedia.org/wiki/Gesundheitsamt
Edit: 600 million, source: https://www.spiegel.de/politik/deutschland/corona-krise-jens...