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A farmer can plant two crops in a 450-acre plot of land. One acre of land can produce 2.7 bushels of crop A and 2.4 bushels of crop B. Crop A requires $30 for plowing, disking, and harvesting altogether per bushel, and crop B requires $40 for plowing, disk- ing, and harvesting per bushel (the cost includes labor for both crops). Now the same crops could be sold at $120 per bushel and $180 per bushel respectively. The family has 15,000 total hours available, and crop A requires 40 hours per acre, and crop B requires 60 hours per acre. The family can arrange 10,000 hours for $6.00 hour as additional labor. As for the availability of seeds, crop A could be planted for 300 acres, and crop B could be planted for 200 acres. If the farmer has $30,000 to invest in his crops, what is his maximum potential profit?

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