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Awkward maximisation question

  1. Nov 8, 2012 #1
    1. The problem statement, all variables and given/known data

    Suppose it is the season for harvesting apples. You can earn (-1/3)
    t^3 + 6t^2 + 16t + 10 GBP per kilo for the
    apples you sell in good condition, where t denotes the number of days from the beginning of the harvest.
    However you will lose apples to rot at the rate of 4t - 6 kg/day. On what day after harvest begins should
    you sell your apples to maximise your revenue?

    3. The attempt at a solution

    It might just be because my head isn't working particularly well at the moment, but I can't see exactly what I need to differentiate and how the rate of change of value of apples relates to the rate of change of volume of apples.

    Help appreciated :)
  2. jcsd
  3. Nov 8, 2012 #2

    Ray Vickson

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    Suppose you sell the apples on day t. How many kg of apples do you sell? What is the selling price per kg for those sold apples?

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