A farmer is deciding between raising beef cows and stocker steer. She has 100 acres of pasture land. One steer requires 9 acres of pasture and one steer requires 4 acres. She is limited to a 40 hour work week. A cow takes 6 hours per week while a steer takes 4. Finally, she is limited by the corn residue for food for the animals. She has 10 acres of corn residue. A cow requires 2 acres of corn residue while the steer requires none. If she can make a profit of $257 per cow and $100 per steer, how many cows and how many steer should she raise to maximize profit? Show your work!