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    vfox18 Posts: 1, Reputation: 1
    New Member

    Nov 8, 2011, 07:31 PM
    optimization precalculus?
    A builder wishes to construct a warehouse with a square front and a volume of 500 cubic meters. Find a formula in terms of x for the total construction cost C(x) of the warehouse.
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    Unknown008 Posts: 8,076, Reputation: 723
    Uber Member

    Nov 8, 2011, 09:48 PM
    Let x be the side of the square front.

    x^2 is the area of the square front.

    Let l be the length of the base, then xy is the area of the base.

    The total area of the warehouse, for 4 walls and a roof is thus:

    The volume of the warehouse is given by

    The construction, I assume, is based on the area (amount of concrete or other materials needed). Use the second equation with volume to get the area in terms of x only.

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