Okay, I called my buddy back for some clarification. He says the production rate is dependant on the casting rate. Full speed, he can't produce more than 15 trays per second, I assume its a batch limit. The trays are plastic and injection molded. I asked if he was sure that the pulse duration was the culprit. He told me the "trays" they are running now are about half as long as the normal product. Otherwise, they are identical. He told me that he placed a long, short, then long tray on the conveyer and the two long trays triggered the next machine... Which he said was "a packaging thing". I asked if he was sure there wasn't a sensor in the tray at the end of the conveyer, so he went over and dropped a tray into the machine feed and it did not trigger. Also, it seems now as though there isn't one master computer operating the system, but a collection of sub circuits and sensors.
Bringing me to this point: I don't need to delay the signal, the timing of the signal doesn't even need to be that precise. He doesn't want to play with moving the sensor for fear that it will cause more problems later. I don't have and exact pulse length at this point, I'm again assuming that its relatively short and I need only make it half again as long.
He contacted the former owner, got contact info for the man who set the machines up only to found that he died a few years ago. I sincerely am not trying to be snotty, and I do greatly appreciate all of the inside provided by prodigy pro. It's probably obvious, I'm not an engineer, nor an electrician. I drive a truck for a living. I'm not being paid for my time on this, I went to high school with this person. It's frustrating at times because I'm truely fascinated by electronics and I try to read and tinker as much as i can. I just don't have tons of free time these days. Thanks again to everyone who has offered an opinion. I realise I've put the wagon in front of the horse on this, not even knowing what lengths I'm dealing with. I was just trying to brainstorm some ideas to be further along when I get more info.