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    jdclark1's Avatar
    jdclark1 Posts: 2, Reputation: 1
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    #1

    Aug 30, 2010, 02:36 PM
    R(n)=80n,C(n)=20(n)+200, what is the profit function
    A company's profit is equal to the revenue it generates minus the cost of producing and selling the product. The revenue function for a certain product is R(n)=80n and its cost function is 20n+200, where n is the number of units made and sold. What is the product function?
    ArcSine's Avatar
    ArcSine Posts: 969, Reputation: 106
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    #2

    Aug 30, 2010, 03:15 PM
    If the total revenue for n units is given by R(n), and the total cost is C(n), then the profit function P(n) for any arbitrary n units is simply

    P(n) = R(n) - C(n).

    That's the generic layout. You replace R(n) and C(n) by the specific algebraic expressions you have for each, and simplify.

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