Chapter 4.2, Problem 22E

Agriculture A large agricultural firm has 250 acres and $8000 available for cultivating three crops: barley, oats, and wheat. Barley requires $10 per acre for cultivation, oats require $15 per acre for cultivation, and wheat requires $12 per acre for cultivation. Barley requires 7 hours of labor per acre, oats require 9 hours of labor per acre, and wheat requires 8 hours of labor per acre. The firm has 2100 hours of labor available. The profits per acre of each crop are barley $60, oats $75, and wheat $70. How many acres of each crop should be planted to maximize profit?