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Math Help - easy stuff!

  1. #1
    Newbie Nick744's Avatar
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    Talking easy stuff!

    Hello!

    This is my final year in high-school so I think I may find this forum handy, get ready to be annoyed at me due to uber use of the forums.

    I have a question to begin.

    A travel agency calculates the expense E of organising a holiday per person in a group of x people as E = 200 + 400x. The cost C for each person taking a holiday is C = 900 - 100x. Show that the profit to the travel agency on a holiday with a group of x people is given by P = 700x - 500x^2.

    I am hitting my head writing this, it seems real easy but for some strange reason I can't get it out.

    Also, could someone please point me to some documentation of that fancy maths coding thats around, it is annoying having to type x^2, etc.

    Anyway, thanks very much in advance.

    Kind regards,
    Nick
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  2. #2
    Super Member
    earboth's Avatar
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    Quote Originally Posted by Nick744 View Post
    Hello!

    This is my final year in high-school so I think I may find this forum handy, get ready to be annoyed at me due to uber use of the forums.

    I have a question to begin.

    A travel agency calculates the expense E of organising a holiday per person in a group of x people as E = 200 + 400x. The cost C for each person taking a holiday is C = 900 - 100x. Show that the profit to the travel agency on a holiday with a group of x people is given by P = 700x - 500x^2.

    I am hitting my head writing this, it seems real easy but for some strange reason I can't get it out.

    Also, could someone please point me to some documentation of that fancy maths coding thats around, it is annoying having to type x^2, etc.

    Anyway, thanks very much in advance.

    Kind regards,
    Nick
    Hello, Nick,

    the complete group consists of x persons. Thus the expenses for the whole group is E(group)=(200+400x)x=200x + 400x^2

    Do the same for the costs:

    C(group)= (900 - 100x)x = 900x - 100x^2

    The profit is the difference between expenses and costs:

    P(group) = C(group) - E(group) = 900x - 100x^2 - (200x + 400x^2)= 700x - 500x^2

    As for the mathematical writing look at the Latex-tutorial.

    EB
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  3. #3
    Newbie Nick744's Avatar
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    Thanks very much earboth!
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  4. #4
    Grand Panjandrum
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    Quote Originally Posted by Nick744 View Post
    Hello!

    This is my final year in high-school so I think I may find this forum handy, get ready to be annoyed at me due to uber use of the forums.

    I have a question to begin.

    A travel agency calculates the expense E of organising a holiday per person in a group of x people as E = 200 + 400x. The cost C for each person taking a holiday is C = 900 - 100x. Show that the profit to the travel agency on a holiday with a group of x people is given by P = 700x - 500x^2.
    Total expense of organising the holiday is xE=200x+400x^2.

    Total revenue is xC=900x-100x^2

    Profit is revenue minus cost, so:

    P=(900x-100x^2)-(200x+400x^2)=700x-500x^2

    Also, could someone please point me to some documentation of that fancy maths coding thats around, it is annoying having to type x^2, etc.
    See this thread.

    RonL
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