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1. A farm co-op wants to grow corn and soybeans. They have 4,000 acres that can be used to grow their crops. Each acre of

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1. A farm co-op wants to grow corn and soybeans. They have 4,000 acres that can be used to grow their crops. Each acre of corn requires 3.4 gallons of fertilizer and 2 hours to harvest. Each acre of soybeans requires 8 gallons of fertilizer and 1 hour to harvest. The co-op has available at most 27,200 gallons of fertilizer and 7,000 hours of labor for harvesting. If the profits per acre are $55 for corn and $46 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

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