Yeah.
The doctor puts my prescription in the system. It’s available in any pharmacy immediately. (Sometimes the doctor makes a note to the backoffice, which will then put it in the system. On a busy day this can take hours.)
I can then go to any pharmacy without pre arranging anything. At the register I say what I want (or if I’m not sure they can check my prescriptions), and a few seconds later I get it, I pay, I leave. I don’t think I’ve ever waited more than a minute.
In some pharmacies there’s a robot that will find the medicine while I continue the conversation and pay, making it zero waiting time.
I’m not sure exactly what “fill it” means to you. Here it means grab a box or bottle from the stock, stick a label on it and hand it over. The label has my name and a note from the doctor about its usage.
If the competition is that high, the farmers will have very low profit margins. Any extra expense needs to be added to the price.
This won’t affect competition much, as all farmers have the same tax and therefore the same need for increased price.
The only noteworthy thing I see here (based on your information) is that the extra tax is per cow, but the price increase will be on the milk. This will hit farmers with lower amount of milk per cow. I guess this is farmers with more focus on quality and animal welfare.