A factory produces two products. The products go through three different processes. These operations are production, packaging and quality control. The first product takes 10 minutes for production, 5 minutes for packaging and 3 minutes for quality control. The second product takes 7 minutes in production, 4 in packaging and 2 minutes in quality control. The profit from the first product is 30 euros per piece and from the second product 18 euros per piece. In the next production cycle, 7500 minutes are processed for production, 5500 minutes for packaging and 8000 minutes for quality control. How much of each product should the factory produce to maximize net income?

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