maths-urgently needed

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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 -

    f'(x) = 60x-x^2 = x(60-x)
    so, max profit when x=60

  • maths-urgently needed -

    Solution:
    max{70+30 x^2-x^3/3} = 36070
    is at x = 60

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