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There are three items (A, B, and C) that are to be shipped by air. The weights of these are 4, 5, and 3 tons, respectively. The profits (in thousands of dollars) generated by these are 6 for A, 7 for B, and 5 for C. A total of 14 tons may be carried by the plane. There are four units of each available for shipment. What is the maximum possible profit for this situation?
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