A farm co-op wants to grow corn and soybeans. They have 6,000 acres that can be used to grow their crops. Each acre of corn requires 9 gallons of fertilizer and 0.75 hours to harvest. Each acre of soybeans requires 3 gallons of fertilizer and 1 hour to harvest. The co-op has available at most 40,500 gallons of fertilizer and 5,250 hours of labor for harvesting. If the profits per acre are $240 for corn and $160 for soybeans, how many acres of each should the co-op plant to maximize their profit? What is the maximum profit? Hint: There are three inequities in addition to the two inequalities greater than or equal to zero. I