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A box with a square base must have a volume of 120m^3 . The cost of...

A box with a square base must have a volume of 120m^3 . The cost of the material to construct the bottom is $10/m^2, the cost of the material to construct the top is $10/m^2 and the cost of the material to construct the four sides are $12/m^2, $14/m^2, $16/m^2, and $18/m^2  , respectively. What is the minimal cost to construct a box with volume of 120m^3?

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