1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Science Advisor
    Homework Helper

    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?

    RGV
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Awkward maximisation question
  1. Awkward limit (Replies: 8)

  2. Awkward integral? (Replies: 2)

Loading...