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Let's discuss Mathematics

Discussion in 'Science & Technology' started by ParadigmShifter, Mar 16, 2009.

  1. ParadigmShifter

    ParadigmShifter Random Nonsense Generator

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    Well I think we both got it wrong Mise ;)
     
  2. Gabryel Karolin

    Gabryel Karolin Gammelgädda

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    OP states a company and gives a total data of four different quarters to count with. Unless this is about comparing the companys costs for different years (and so number of employees) your idea makes no sense, Mise. And if that was the case not only is the table dubious but the entire problem is worded by a crazy person.
     
  3. Ultraworld

    Ultraworld Emperor

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    because you have to do a correction for time-period as well.
     
  4. Ultraworld

    Ultraworld Emperor

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    so for the months april - december you have 721 people who work for you and you have costs of $ 37221
     
  5. oagersnap

    oagersnap Emperor

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    How so?
     
  6. Ultraworld

    Ultraworld Emperor

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    modified table so it is more clear
    Code:
    time period|Employees|Total costs 
    ----------------------------------
     jan-mar       342     $  4540
     apr-dec       721     $ 37221
     
  7. Ultraworld

    Ultraworld Emperor

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    because it states 'per year'. If I sell 10 apples in the months jan + feb. Then how many apples do I sell on average per year? 10 / (2/12) = 60.

    I got this question from an nameracy practice test. In that question the 'Average Cost per Employee per Year' was given and you had the find the # of employees in Q1. But without a good definition of 'Average Cost per Employee per Year' I am clueless.
     
  8. Gabryel Karolin

    Gabryel Karolin Gammelgädda

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    No. Why would you do that.
     
  9. ParadigmShifter

    ParadigmShifter Random Nonsense Generator

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    That would be correct only if you didn't sell any apples for the rest of the year though.
     
  10. Ultraworld

    Ultraworld Emperor

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    I am affraid somehow I(/we) confuse 'normalizing' with 'averaging'(/the 'mean').
     
  11. Mise

    Mise isle of lucy

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    Imagine this... For 1 quarter, you have 1 employee with an annual salary of $100. Then you employ another employee at the same rate, $100 per year, for the rest of the year. I'm sure you'll agree that the Average Cost per Year per Employee is $100. How could it be anything else?

    Well, lets draw up that table and see...

    Quarter .................. Employees .................. Total Cost
    1 ................................. 1 ............................. $25
    2,3,4 ............................ 2 .............................$150

    So, lets use Oagersnap/Gabryel's method: 25/1 + 150/2 = 100
    Now Ultraworld: 4/1 * 25/1 + 4/3 * 150/2 = 200
    Mise: (1/4 * 25/1 + 3/4 * 150/2)*4 = 250
     
  12. Gabryel Karolin

    Gabryel Karolin Gammelgädda

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    No, it would only be correct if the year had only two months.

    EDIT: I wonder how I came up with that... I stand by what i said regarding the actual problem though :D
     
  13. ParadigmShifter

    ParadigmShifter Random Nonsense Generator

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    Am confusing myself now.

    I'm glad I'm not an accountant ;)

    EDIT: Looks like Mise is in the oagersnap/Gabs camp now too along with myself.
     
  14. Mise

    Mise isle of lucy

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    Anyway I know where I went wrong, I didn't divide the total cost in Qs 2,3,4 by 3.
     
  15. Ultraworld

    Ultraworld Emperor

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    but why not

    (4540/0.25)+(37221/0.75) = 67788

    looking from the time perspective?
     
  16. Gabryel Karolin

    Gabryel Karolin Gammelgädda

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    Because here you are not looking at the respective number of employees for the two time periods. The number of quarters in the two on the other are completely irrelevant.
     
  17. oagersnap

    oagersnap Emperor

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    What would the number 67788 signify in that example?
     
  18. SS-18 ICBM

    SS-18 ICBM Oscillator

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    Anyone know how to approach this?

     
  19. ParadigmShifter

    ParadigmShifter Random Nonsense Generator

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  20. Ultraworld

    Ultraworld Emperor

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    So you have, for each employee, to scale UP the costs. After that devide by the number of employees.

    Code:
    time period|Employees|Total costs 
    ----------------------------------
     jan-mar       342     $  4540
     apr-dec       721     $ 37221
    scaling up

    Code:
    time period|Employees|Total costs 
    ----------------------------------
     jan-dec       342     $ 18160
     jan-dec       721     $ 49628
    summation


    Code:
    time period|Employees|Total costs 
    ----------------------------------
     jan-dec      1063     $ 67788
    
    gives

    'average cost per employee per year' of 63.8
     

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