Minimizing Costs A pencil cup with a capacity of 45 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 27¢/in.^2 and the material for the base costs 90¢/in.^2, what should the dimensions of the cup be to minimize the construction cost? A pencil cup is in the shape of a rectangular box with a square base and an open top.
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