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The number of apples produced by each tree in an apple orchard depends on how densely the trees are planted. If n trees are planted on an acre of land, then each tree produces 900-9n apples. So the number of apples produced per acre is A(n)=n(900-9n)

Answer :

nobillionaireNobley
A(n) = n(900 - 9n) = 900n - 9n^2
For maximum A(n), A'(n) = 0
A'(n) = 900 - 18n = 0
18n = 900
n = 900/18 = 50

Therefore, for maximum apples to be produced, 50 trees should be planted per acre.

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