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    matticus0123456's Avatar
    matticus0123456 Posts: 2, Reputation: 1
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    #1

    Dec 16, 2008, 08:24 PM
    world problems involving systems of equations with three variables
    I got this problem for school and I don't really know where to start... :-(


    Suppose you are setting up for a small business and have invested $5000 to produce an item that will sell for $9. If each uniet can be produced for $7, how many units must you sell to break even?
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Dec 17, 2008, 04:08 PM
    There is not 3 variables here. Just one.

    Let x=number of units produced.

    You put up an initial 5000. Plus, it costs $7 to produce each.

    Therefore, the cost is 5000+7x

    But, you sell them for $9 each.

    The gross is then 9x.

    To break even they must be equal.

    Set equal and solve for x.
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