You're talking in circles again.  You justify lower prices with "Naturally the competition decreases as their needs are met."  But then contradict yourself with a situation that pushes prices up "Competition between Excel and Swift increases for the remaining cattle."

How can Tyson lower their cash prices with Excel and Swift having increased competition for the remaining cattle?  It can't happen in this world.  You're giving us a scenario with increased competition and lower prices.  I think you've trapped yourself again.