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There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the output per additional tree drops by 10 apples. Number of trees that should be added to the existing orchard for maximising the output of the trees, is

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answer is C.

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Detailed Solution

Let x tree be added then

$P (x) = (x + 50) (800 - 10 x) P (x) = - 10 x^{2} + 300 x + 40000 P' (X) = - 20 x + 300$

now $P^{'} (x) = 0 \Rightarrow x = 15$

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