Question: We are tasked with constructing a rectangular box with a volume of 14 cubic feet. The material for the top costs $10 per square foot,

We are tasked with constructing a rectangular box with a volume of 14 cubic feet. The material for the top costs $10 per square foot, the material for the four sides costs $3 per square foot, and the material for the bottom costs $12 per square foot. What is the minimum cost for such a box, rounded to the nearest cent?

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