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A closed rectangular box with a volume of123ft3 is made from two kinds of materials. The top and bottom are made of material costing 26

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A closed rectangular box with a volume of123ft3 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 of the box so that the cost of materials is minimized. Assume that w 5 I. w=n ft h=n n

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