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A candy manufacturer makes one type of candy bar but in two sizes, small and large. A batch of the small candy bars takes 6 pounds of chocolate and a batch of the large candy bars takes 12 pounds of chocolate. A batch of the small candy bars takes 2 pounds of sugar while a batch of large candy bars takes 2 pounds of sugar. The profit on a batch of small candy bars is 54 and the profit on a large batch of candy bars is 83. The company only has 6336 pounds of chocolate and 904 pounds of sugar. Find the best number of batches of each candy bar to produce. What is the maximum profit?

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