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Brian wants to plant an apple orchard. From past experience, he knows that if he plants 16 apple trees, they will yield on average 80 apples per tree. However, once the garden becomes crowded with trees, they yield fewer fruit. In fact, for every additional tree planted on top of 16, the yield will decrease by 4 apples per tree. How many trees should Shane plant to maximize the total yield? What is the maximum yield?
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