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A pencil cup with a capacity of 48 in^3 is to be constructed in the shape...

A pencil cup with a capacity of 48 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 40¢/in^2 and the material for the base costs 60¢/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.

height ____ in

length _____ in

width _____ in

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