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Show work, draw a picture, label your variables. (4pts) We want to construct a box whose...

Show work, draw a picture, label your variables. (4pts)
We want to construct a box whose base length is 4 times the base width. The material used to build the top and bottom cost $10 sq foot and material used to build the sides cost $6 sq foot. If the box must have a volume of 60 cubic feet, determine the dimensions that will minimize the cost to build the box and find the minimum cost box.
* Give your answer in exact form or round two decimal places.

Math   Calculus   
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