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A rectangular box is to have a square base and a volume of 40 ft^3. If...

A rectangular box is to have a square base and a volume of 40 ft^3. If the material for the base costs $0.36/ft^2, the material for the sides costs $0.05/f^2, and the material for the top costs $0.14/ft^2, determine the dimensions of the box that can be constructed at minimum cost.

length____ft

width____ ft

height________ ft

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