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CalculusQ&A LibraryA rectangular box is to have a square base and a volume of 16 ft3. If the material for the base costs $0.25/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.15/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)Start your trial now! First week only $4.99!*arrow_forward*

Question

A rectangular box is to have a square base and a volume of 16 ft^{3}. If the material for the base costs $0.25/ft^{2}, the material for the sides costs $0.10/ft^{2}, and the material for the top costs $0.15/ft^{2}, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)

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