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    Batman0714's Avatar
    Batman0714 Posts: 2, Reputation: 1
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    #1

    Sep 5, 2011, 06:21 PM
    Cost Formulas
    I have been assigned a homework problem in Managerial Accounting but I missed the class period where she explained everything. I looked at her online notes and I'm still confused. I read through the book and I understand what y=mx+b is but I'm not sure how to apply it to this problem.

    The problem asks me to develop a cost formula for the operating expenses...

    Does that mean I make y = the total operating expenses?
    I already figured out the quantity which equals x... I think.
    The thing is that the operating expenses given are mixed costs but I'm not sure how to figure out the variable.

    I'm just completely confused on the problem :(
    If anyone can help me that would be great.

    Thank you
    ArcSine's Avatar
    ArcSine Posts: 969, Reputation: 106
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    #2

    Sep 6, 2011, 05:39 AM
    You're on the right track. In a situation where total costs are a linear function of output, then applying the classic linear function

    y = mx + b

    then y denotes total cost, x is the production in units (both of which you're correct on), m denotes the unit variable cost, and b represents the company's total fixed cost.

    A lot of times you'll see the total cost formula given with more intuitive symbols...

    C = vQ + F

    ... same thing. You'll need to analyze your mixed costs to determine what portion varies with production, and what portion remains constant regardless of output. The former should be included in m or v, while the latter is included in b or F.

    Real simple example: Suppose my raw materials and other variable inputs amount to $4.50 per unit, while my overhead salaries, building rent, and other fixed costs are $52,000 per month, then my cost formula or model for total costs each month is given by

    C = 4.5Q + 52,000

    Give that a spin and see how it turns out.

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