Question: A closed rectangular box with a volume of 1458ft3 is made from two kinds of materials. The top and bottom are made of material costing

A closed rectangular box with a volume of 1458ft3 is made

A closed rectangular box with a volume of 1458ft3 is made from two kinds of materials. The top and bottom are made of material costing 26 cents per square foot and the sides from material costing 13 cents per square foot. Use Lagrange multipliers to nd the dimensions ofthe box so that the cost of materials is minimized. Assume that w s l. h: n ft

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