A pencil cup with a capacity of 40 in.3 is to be constructed in the...
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A pencil cup with a capacity of 40 in.3 is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 12/in. and the material for the base costs 49/in.2, what should the dimensions of the cup be to minimize the construction cost (in )? Round your answer to two decimal places, if necessary.
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