That's too simplistic. What about the doctors and medical facilities and other supporting infrastructure? What about the baby food and medicine and clothing and supplies and what about the people to take care of the children? You think you can just keep throwing more women at a hospital having babies to infinity and not have any problems?
There's a limit on those things, but it might as well be infinity when you're trying to have 1 baby or 3 babies or 100 babies.
1M users and 10k employees is not in the range where you have crushingly impactful logistics.
You can deliver DVDs to netflix subscribers as well to achieve a much bigger throughput, but I doubt they would be as popular as they are right now :D
Sneakernet!
“Never underestimate the bandwidth of a station wagon full of tapes hurtling down the highway.“ -Andrew Tannenbaum
That won't help your customer expecting their 'baby' after three month due to the increased mother-workforce ;)