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We are tasked with constructing a rectangular box with a volume of 14 cubic feet. The...

We are tasked with constructing a rectangular box with a volume of 14 cubic feet. The material for the top costs 8 dollars per square foot, the material for the 4 sides costs 2 dollars per square foot, and the material for the bottom costs 7 dollars per square foot. To the nearest cent, what is the minimum cost for such a box?

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