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?