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modelling using mathematics - HELP

  • 08-02-2014 11:19am
    #1
    stop animal cruelty
    Closed Accounts Posts: 4,012 ✭✭✭


    Please HELP!!

    l haven't got one clue about this question, lm ****e a maths...

    lf anyone could help it would be greatly appreciated...

    A) explain the modelling process in diagrammatic form ( cant even find this on google)

    B) The call our charge for a service engineer has 2 components, the call our charge € C and the hourly rate of € H for time spent on the job.

    Devise a mathematical model for the full cost to a customer for a job lasting T hours.

    C) The service engineer charges €50 for a call our plus €20 per hour for a three hour visit to fix a boiler.

    How much does the customer pay?


Comments

  • #2
    stop animal cruelty
    Closed Accounts Posts: 4,012 ✭✭✭stop animal cruelty


    anyone?

    :(


  • #3
    platypus
    Registered Users, Registered Users 2 Posts: 372 ✭✭platypus


    stop animal cruelty wrote: »
    anyone?

    :(

    Not sure about A

    B is a generalisation of Part C

    You probably can get the answer to C in your head. If you can do this maybe take some other examples, if you can see the pattern you should be able to derive a formula for part B. The fixed charges is always the same no matter how many units of time you have and the formula should be linear as you are adding the same amount on for each time unit


  • #4
    mick_jt
    Registered Users, Registered Users 2 Posts: 47 ✭mick_jt


    A seems to be asking to explain how diagrammatic (i.e graphing) methods can be used to solve problems e.g. boiler example.

    I think for B what you want to do is draw a graph of Time (on the x-axis) against Cost (on y-axis) with the intercept being the call out charge C (i.e. the first point will be (0 hrs, C euros) and then the slope will be H euros ( where you will have the points (1,C + H) and (2,C + 2H)) the formula of the line will be Cost = C + H.T where time is the time of the call out.

    Part C is basically your Eqn is Cost = 50 + 20.T and then find the cost when T=3, which means cost= 50 + 60 = 110 euro.

    Hope this helps and somewhat answers your question.


  • #5
    bnt
    Registered Users, Registered Users 2 Posts: 13,077 ✭✭✭✭bnt


    This graph shows how you can graph fixed + variable costs:

    BreakEvent.gif

    It also goes a bit further than the question requires, adding a line for income (which is only variable on this case), and showing the "break-even point" where the two lines meet. That kind of question may come up later ..!

    You are the type of what the age is searching for, and what it is afraid it has found. I am so glad that you have never done anything, never carved a statue, or painted a picture, or produced anything outside of yourself! Life has been your art. You have set yourself to music. Your days are your sonnets.

    ―Oscar Wilde predicting Social Media, in The Picture of Dorian Gray



  • #6
    stop animal cruelty
    Closed Accounts Posts: 4,012 ✭✭✭stop animal cruelty


    Thanks a mil for the replies! Can anyone else explain any bit A?


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  • #7
    Iderown
    Registered Users, Registered Users 2 Posts: 233 ✭✭Iderown


    Put this into a flowchart form:
    1. Write down the equations which you think represent the physics, engineering, logic or the finance of the real world situation.
    2. Use the appropriate mathematics to solve the equations to get an algebraic or a numerical solution.
    3. Test your solution against known results.
    4. If solution is not good enough, go back to step 1 with modified or enhanced equations.

    How does this sound? Can you now dream up a specific example?


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