@prof -- well said!
This reminds me of a story where there was a machine failure at a factory which caused the entire line to shut down. This would have impacted hundreds of production orders and caused severe backlogs. Everyone tried to fix it for hours but couldn't figure out how to get the machine to start again. Finally, a contractor walks in, picks up a specific type of screw, replaces the faulty screw, and gets the machine to start again. He later sends an invoice for $1000 to the factory. The manager asks, "Really? $1000 to replace a screw which probably costs $1?" To which the contractor replies, "yes, $1 to replace the screw and $999 to know which type of screw to use and where to put it."