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A pencil cup with a capacity of 20 in.3 is to be constructed in the shape...

A pencil cup with a capacity of 20 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 10¢/in.2 and the material for the base costs 50¢/in.2, what should the dimensions of the cup be to minimize the construction cost?

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