Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 81 ft³. If the material for the base costs $0.43/ft², the material for the sides costs $0.12/ft2, and the material for the top costs $0.29/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) y X = ft y = ft

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I did this problem and I got y=1.89 and y=22.70 but the system says it is wrong. I would like to know what am i doing wrong, thanks.

Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 81 ft3. If the material for
the base costs $0.43/ft2, the material for the sides costs $0.12/ft2, and the material for the top costs $0.29/ft2, determine
the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)
X =
ft
y =
ft
Transcribed Image Text:Minimizing Packaging Costs A rectangular box is to have a square base and a volume of 81 ft3. If the material for the base costs $0.43/ft2, the material for the sides costs $0.12/ft2, and the material for the top costs $0.29/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.) X = ft y = ft
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