An Aircraft With 100 Seats Serves Passengers Through Two Types Of Fares Full 505

an aircraft with 100 seats serves passengers through two types of fares: full ($505) and discount ($105). Extra passengers have $5 marginal cost. Demand for discount tickets is unlimited, while demand for full-fare tickets is evenly distributed between 11 and 30 seats. How many seats should be protected for full-fare passengers?

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