I need to know the number of connections I can use, in order to configure puma and sidekiq to use system resources to full potential.

In my previous experience, I had smaller plans, that would define a hard limit on connections, say 20 or 40... Now we have a pretty expensive plan, it says
my max connections is 4000.

My question is, can I safely base my calculations on that number?
If not, what number of connections is safe to use?