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1. A company wants to build a box with a square base and a total volume of 160cm?. Suppose the material for the sides costs

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1. A company wants to build a box with a square base and a total volume of 160cm?. Suppose the material for the sides costs $1/cm, the material for the bottom costs $2/cm, and the material for the top costs $3/cm-. Assuming that the base is at least 2cm wide, but no more than 10cm wide, find the dimensions of the cheapest such box

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