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19 January, 18:02

The united parcel service has contracted you to design a closed box with a square base that has a volume of 10,000 cubic inches. if they are concerned with minimizing cost of construction of each box, what dimensions should the box be and why?

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  1. 19 January, 19:36
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    height: h=V/w / (9w) = V / (9w^2)

    surface area: w*9w + h * (20w) = 9w^2 + 20wV / (9w^2) = 9w^2 + 20/9 V/w

    minimum at:

    w = cube root of (10/81 V)

    dimensions:

    w, 9w, V / (9
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