If you look at pure flour, rice, beans, pasta, and stuff like that, there are lots of cases where it drops from prepared-foods price down to something closer to its commodity value. Looking up rice, it goes for $14/c.w.t., which I think translates to a little over $0.10 per pound. You can't buy it at that price, but you can buy a literal 1 lb bag of the bad rice for $1.00. Consider larger quantities and you'll probably see an asymptote to a reasonable multiple times the commodity value.
Meat will not follow those rules. The floor for meat is much higher due to the physical inefficiency of production. Even at that higher price floor, there are huge untaxed externalities. A lot of people know the reality that we have to eat a lot less meat due to halt climate change. I think there is a strong business and social culture for businesses to move meat at close to its price floor, with business models like fast food.
Either way, no offense, but your economics grad needs to re-take some basic classes. To simplify, input costs only establish a floor on prices. Otherwise, prices are set by dynamic market supply/demand curves.
I once asked a recent undergrad in Economics graduate, at a party, why one pound of bread costs more than one pound of meat (the inputs and processing costs are vastly different, through the life of the animal, the meat should be way, way more) but, blank stare, more beer.
I for one believe that most of the markets, most of the time, make no sense at all from the perspective of the real natural inputs, and all the sense in the world from the point of view of one human group selling things to another human group, any way they can; old timber included.