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Design a rectangular milk carton box of width w, length 1, and height h which holds 528 cm³ of milk. The sides of the box cost 2 cent/cm² and the top and bottom cost 3 cent/cm². Find the dimensions of the box that minimize the total cost of materials used. dimensions = (Enter your answer as a comma separated list of lengths.)

Design a rectangular milk carton box of width w, length 1, and height h which holds 528 cm³ of milk. The sides of the box cost 2 cent/cm² and the top and bottom cost 3 cent/cm². Find the dimensions of the box that minimize the total cost of materials used. dimensions = (Enter your answer as a comma separated list of lengths.)

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 2ST
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Design a rectangular milk carton box of width w, length 1, and height h which holds 528 cm³ of milk. The sides of the box cost 2 cent/cm² and the top and bottom cost 3 cent/cm². Find the dimensions of the box that minimize the total cost of materials used. dimensions = (Enter your answer as a comma separated list of lengths.)
Transcribed Image Text:Design a rectangular milk carton box of width w, length 1, and height h which holds 528 cm³ of milk. The sides of the box cost 2 cent/cm² and the top and bottom cost 3 cent/cm². Find the dimensions of the box that minimize the total cost of materials used. dimensions = (Enter your answer as a comma separated list of lengths.)
Expert Solution
Step 1

Given data ÷

Width of the box = w

Length of the box = l

Height of the box = h

Volume of the box = 528cm3

Sides of the box cost = 2centcm2

Top and bottom cost = 3centcm2

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