Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 16 ft³. If the material for the base costs $0.19/ft2, the material for the sides costs $0.08/ft2, and the material for the top costs $0.13/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 31E: Mary Frances has a rectangular garden plot that encloses an area of 48 yd2. If 28 yd of fencing are...
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Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 16 ft³. If the material for the base costs $0.19/ft2, the material for the sides costs $0.08/ft², and
the material for the top costs $0.13/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)
Transcribed Image Text:Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 16 ft³. If the material for the base costs $0.19/ft2, the material for the sides costs $0.08/ft², and the material for the top costs $0.13/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)
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