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Math Help - More Finite Math assistance pls and ty...

  1. #1
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    More Finite Math assistance pls and ty...

    This one is really racking my brain..

    The cost of manufacturing x home theatre systems per week is given by
    C(x)=415x + 5200

    A) Determine the fixed cost and the unit (cost per item) cost.

    I think fixed cost is 5200. How do I find cost per item?

    B) Determine the cost of producing 700 systems per week.

    C) Determine how many systems were produced of the production cost for one week was $230,130.
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  2. #2
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    Quote Originally Posted by johnewton View Post
    This one is really racking my brain..

    The cost of manufacturing x home theatre systems per week is given by
    C(x)=415x + 5200

    A) Determine the fixed cost and the unit (cost per item) cost.

    I think fixed cost is 5200. How do I find cost per item?

    that would be the 415

    B) Determine the cost of producing 700 systems per week.

    415(700) + 5200

    Determine how many systems were produced of the production cost for one week was $230,130.

    415x + 5200 = 230130
    solve for x
    ok?
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  3. #3
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    Quote Originally Posted by johnewton View Post
    This one is really racking my brain..

    The cost of manufacturing x home theatre systems per week is given by
    C(x)=415x + 5200

    A) Determine the fixed cost and the unit (cost per item) cost.

    I think fixed cost is 5200. How do I find cost per item?

    B) Determine the cost of producing 700 systems per week.

    C) Determine how many systems were produced of the production cost for one week was $230,130.
    Cost per item
    x = number of items
    C(1) = 415*1 + 5200 = 5615

    B) C(700) = 415 * 700 + 5200 = 295700

    C)

    C(x) =415x + 5200
    415x + 5200 = 230130
    415x = 224930
    x = 224930/415
    x = 542
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