While I'm not working in the food industry, I do run a small business (water filters) from home.
My teens work with me, learning pretty much everythig from post, manufacture, importing components, dealing with customs, filing, archiving....the list is endless. They've been doing it since they were 14, and I work better with them than the many assistants who have come and (sometimes thank GOODNESS) gone.
They know a business from the inside out, how to run it, how to source info, parts, pricing, invoicing. Also the customer problems issues hehe. They've also learned lots of curse words from the boss! Ah well
**** I'm proud of them

Other kids choose to work in the various fast food outlets or chain stores or supermarkets- nothing wrong with that, some places train young people very well. Working from home, there's no travel time, so they get more paid hours. There's no driving issues for me, and no worry about late night hours.
I'm saying- it works for us, they learn so much to put them in good stead for when they go into the workforce. They both have extensive interests outside of the home business and school also, so I reckon they get a pretty good balance.
I reckon if you only get the chance once it is great to work with your child. They grow up too fast, and you may not get the chance to see that side of them again.