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A tourism company conducts boat tours. The company is considering adding two types of small boats to its fleet. The first type of boat costs $30000, has a seasonal capacity of 1400 and an estimated seasonal profit per boat is $5000. The second type of boat costs $90000, has a seasonal capacity of 2500 and an estimated seasonal profit per boat is $9000. The number of additional tourists projected to be served by the company is 8000. If the company plans to invest $250000, determine the additional number of boats of each type for maximum profit.
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