Failing production of Corona vaccination

I am very impressed by the speed at which pharma concerns like Pfizer and Moderna have developed their vaccination against Corona.

Their production policy, however, is total let-down.

Their production capacity is obviously unable to supply the entire planet within a short period.

They fail to delegate their production to other manufacturers, for which they wouldn't even have to give up on their patents. By licensing their product to other manufacturers they can still get their fair share on the development investments they made.

This is just a question of decent organizing and less introverted thinking by both the industry as well as the rich countries. 

We can only win the war against Corona, if we win it worldwide including the poor countries!

Rich countries, please push!