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  1. #1
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    More Finite Math help

    Okay so I stumbled upon this question and I think I may be on the right track but request backup..

    A store handles a specialty item that has a marginal cost of $24 and a fixed cost of $360. The sales required to break even are 75 items.

    A) Find the linear cost function
    My answer was --> c(x) = 24+360

    B) Find the linear revenue function
    My answer was --> R(x) = px -->R(x) = 384x

    Does this look correct?
    Last edited by johnewton; January 25th 2009 at 05:30 PM.
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  2. #2
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    Quote Originally Posted by johnewton View Post
    Okay so I stumbled upon this question and I think I may be on the right track but request backup..

    A store handles a specialty item that has a marginal cost of $24 and a fixed cost of $360. The sales required to break even are 75 items.

    A) Find the linear cost function
    My answer was --> c(x) = 24+360
    nope, it should be 24x + 360

    B) Find the linear revenue function
    My answer was --> R(x) = px -->R(x) = 384x

    Thank you math scholars!!
    nope.

    break even means C(x) = R(x)

    so, the problem says C(75) = R(75)

    now, C(75) = 2160, and R(x) = ax \implies R(75) = 75a

    now, set up the equation to solve for a, then you can find your revenue funciton
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  3. #3
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    Quote Originally Posted by johnewton View Post
    Okay so I stumbled upon this question and I think I may be on the right track but request backup..

    A store handles a specialty item that has a marginal cost of $24 and a fixed cost of $360. The sales required to break even are 75 items.

    A) Find the linear cost function
    My answer was --> c(x) = 24x+360

    did you forget the x ?

    B) Find the linear revenue function
    My answer was --> R(x) = px -->R(x) = 384x

    R(x) = C(x) at the break even point

    p = selling price

    75p = 24(75) + 360

    p = 28.80

    R(x) = px = 28.80x

    ok?
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  4. #4
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    I

    thank you for the help!!
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  5. #5
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    Got it

    to solve for "A" you just divide 2160 by 75 which gives you 28.80. I love this website! Thank you Jhevon and Skeeter!
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by johnewton View Post
    to solve for "A" you just divide 2160 by 75 which gives you 28.80.
    yup, just as skeeter did

    I love this website!
    ....um, we...love you too?? ...ok, that was awkward

    Thank you Jhevon and Skeeter!
    you're welcome

    take care
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  7. #7
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    Umm yeah

    it was, my bad LOL
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