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 450 − 9n apples. So the number of apples produced per acre is A(n) = n(450 − 9n). How many trees should be planted per acre to obtain the maximum yield of apples?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
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Chapter5: Exponential And Logarithmic Functions
Section5.4: Exponential And Logarithmic Equations
Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...
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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 450 − 9n apples. So the number of apples produced per acre is

A(n) = n(450 − 9n).

How many trees should be planted per acre to obtain the maximum yield of apples?

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