(Solution Library) A box with a rectangular base is to be constructed of material costing ,)2/in.^2$ for the sides and bottom and ,)3/in.^2$ for the top.
Question: A box with a rectangular base is to be constructed of material costing \(\\)2/in{{.}^{2}}$ for the sides and bottom and \(\\)3/in{{.}^{2}}$ for the top. If the box is to have volume 1,215 \(in{{.}^{3}}\) and the length of its base is to be twice its width, what dimensions of the box will minimize its cost of construction? What is the minimal cost?
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