Posted by **Anonymous** on Thursday, February 14, 2013 at 9:41am.

There is a garden of apples and the profit from a garden of apple trees is given by

f( x ) = 70 + 30 x^2 - (1/3) x^3,

where x = number of apples trees per acre. How many trees per acre will maximize the profit?

- maths-urgently needed -
**Steve**, Thursday, February 14, 2013 at 10:48am
f'(x) = 60x-x^2 = x(60-x)

so, max profit when x=60

- maths-urgently needed -
**Dr. Fairman**, Friday, February 15, 2013 at 1:59pm
Solution:

max{70+30 x^2-x^3/3} = 36070

is at x = 60

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