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?

mathsurgently needed  Steve, Thursday, February 14, 2013 at 10:48am
f'(x) = 60xx^2 = x(60x)
so, max profit when x=60

mathsurgently needed  Dr. Fairman, Friday, February 15, 2013 at 1:59pm
Solution:
max{70+30 x^2x^3/3} = 36070
is at x = 60
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