Question: A closed rectangular box with a volume of 162ft' is made from two kinds of materials. The top and bottom are made of material costing

A closed rectangular box with a volume of 162ft' is made

A closed rectangular box with a volume of 162ft' is made from two kinds of materials. The top and bottom are made of material costing 66 cents per square foot and the sides from material costing 11 cents per square foot. Use Lagrange multipliers to find the dimensions of the box so that the cost of materials is minimized. Assume that w $ 1. 1 = ft W fit h ft

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