Let's say that you're making hotdogs.
The dogs go through the extruder and the ovens, and they come out into your section of the process in a long, continuous casing. You gotta get them out of that casing, so you have two or three guys who run them through the stripper. Using superhuman dexterity, you pop the string of dogs onto a blade that cuts the skin-tight casing without cutting the dogs, themselves. The strings don't stop coming. If you get behind, you get a pile of encased hotdogs that you have to deal with in addition to the regular strings that keep coming and coming.
From there, they go on a conveyer belt to the hopper--just a big bin about 4 feet tall--where you have one guy who picks out the bad dogs and whatever pieces of casing made it through the stripper.
From there, the dogs go into the feeder, which puts the dogs in little hotdog-shaped molds. You have one, maybe two guys there who make sure that the dogs are actually in the molds straight and that there aren't any empty slots. The dogs whiz by so fast that it can make you dizzy.
At the other end of the feeder is the wrapper., which puts the dogs in their little plastic packages. Gotta make sure that you have the right number of dogs in each package, and you've gotta make sure the there aren't any leakers (packages that aren't air-tight), AND you've gotta keep the trimmed plastic on the spool and not let it go down the line. Just the one guy working the wrapper.
Next is the bander, where two packages of dogs are banded together with glue and a little paper wrapper. The packages come of the wrapper so fast that you need two lines, each going to its own bander, so you need two people there, with maybe a third as backup. Assume that these banders are constantly being clogged up with glue, and the wheels need to be cleaned frequently.
The banded packages get picked up by the sorter, who makes sure that no leakers were made by the bander (hot glue and the bander wheels can do that). You have two lines, so you have two sorters.
Off to the side, there's a guy running the folder--it turns flat cardboard into folded cardboard boxes.
Last is the boxer. Just one guy who runs the boxing machine that puts the banded dogs into cardboard boxes, glues the boxes shut, and affixes a label. The boxer guy makes sure that the machine doesn't run out of labels, glue, or folded cardboard boxes.
Also, you have a couple of people working support. They keep the knives sanitized, replace plastic gloves and hand sanitizer, and help out with scraps. Their main job, though, is to relieve the people on the stripper when it's break time. When the stripper people come back from break, they relieve someone else--one might go to the hopper and the other to the boxer. When the hopper guy and the boxer guy come back, they might relieve the feeder guys. And so on.
The line doesn't stop. For twelve hours, the dogs keep coming.
Which of those people can just pop off to go pray without breaking the whole process?