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A rectangular box is to have a square base and a volume of20ft 3 . If the material for the base costs$0.28/ft 2 , the

A rectangular box is to have a square base and a volume of20ft3. If the material for the base costs$0.28/ft2, the material for the sides costs$0.10/ft2, and the material for the top costs$0.22/ft2,determine the dimensions of the box that can be constructed at minimum cost.

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