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An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. Airplane P1 can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. Let x represent the number of planes of type P1 and y represent the number of planes of type P2.
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