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    kgibbs1219's Avatar
    kgibbs1219 Posts: 3, Reputation: 1
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    #1

    May 18, 2008, 04:38 PM
    cost functions
    If a company manufactures 20 widgets it cost $405, the cost of manufacturing 500 is $1125. Assume the cost C depends linearly on the number x of widgets manufactured.

    express the cost n terms of the number of widgets manufactured
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #2

    May 18, 2008, 04:47 PM
    You have 2 points on the graph, so you can just take the generic equation for a line:

    y = mx + c

    and work out what m and c must be.

    What specifically are you having trouble with?
    kgibbs1219's Avatar
    kgibbs1219 Posts: 3, Reputation: 1
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    #3

    May 18, 2008, 04:50 PM
    Which numbers do I plug where?
    Capuchin's Avatar
    Capuchin Posts: 5,255, Reputation: 656
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    #4

    May 18, 2008, 04:58 PM
    m is the gradient of the line, i.e.



    and c can be obtained by plugging in one of the points.
    This can then be verified with the other point.
    kgibbs1219's Avatar
    kgibbs1219 Posts: 3, Reputation: 1
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    #5

    May 18, 2008, 05:15 PM
    I got! Thank you
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