I gave it a bit of a thought. Maybe this can be done post-reservations. The solver would consider how popular the item was, the prices at which people accepted to participate and the lowest achieved price. According to all of this, the solver would calculate the suggested item price.

That's cool, I might do that, just for fun.

I wouldn't limit the usage to only manufacturing and operations management. I am trying to keep it as a universal tool.

Thanks again for valuable thoughts.