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Dimensions for the cheapest box

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U-Pack-Em sells cardboard boxes for the do-it-yourself mover. Their most popular size has a volume of 2 cubic feet. As shown in the figure below, the top and bottom are made using four flaps. The price of cardboard is $0.20/ft'. What are the raw materials cost and dimensions for the cheapest box that can be manufactured? (Be sure to show that it is, in fact a minimum by looking at the Hessian Matrix.)

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Reference no: EM13960488

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