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Math Help - Algebra/Business Application

  1. #1
    Senior Member nycmath's Avatar
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    Algebra/Business Application

    The Beta club plans a dance as a fund raiser. The band costs $650, decorations cost $45, and the refreshments costs $2.20 per person. The admissions tickets are $6 each.

    Find:

    a) The linear cost function
    b) The linear revenue function
    c) The linear profit function
    d) How many tickets must be sold to break even?
    e) How many tickets must be sold to clear $700?
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  2. #2
    MHF Contributor
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    Re: Algebra/Business Application

    Hey nycmath.

    Hint: Total cost is a function of all costs. Cost(band) = 650, Cost(dec) = 45, Cos(ref) = 2.20*persons. Total cost = Sum of all individual costs.
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  3. #3
    Senior Member nycmath's Avatar
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    Re: Algebra/Business Application

    I understood your reply slightly. I think the question is asking for several functions. Can you answer part d and e?
    I will try a through c later today.
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  4. #4
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    Re: Algebra/Business Application

    Hint for d: Breaking even means total costs = total revenue (the money you collect from customers). How much does it cost one person to get in? What are the total costs as a function of the number of people? Take those and equate them together and solve for the value of persons.
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