A as it is wishes to manufacture a box with company a volume of 32 ft³ that is open on top and is twice as long wide. Find the dimensions of the box produced from the minimum amount of material. (a) The function to be minimized is M(w), Where is the material and w is the width of the bottom. M (W) = (6) The dimensions of the box with minimum surface area are

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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A
А company
wishes to manufacture a box with
a volume of 32 ft³ that is open on
Zwice as long
top and is
as it is
wide. Find the dimensions of the box
produced from the minimum amount
of material.
(a) The function to be minimized is M(w),
Where is the material and w is the
width of the bottom.
M (W) =
(6) The dimensions of the box with
minimum surface area
are
Transcribed Image Text:A А company wishes to manufacture a box with a volume of 32 ft³ that is open on Zwice as long top and is as it is wide. Find the dimensions of the box produced from the minimum amount of material. (a) The function to be minimized is M(w), Where is the material and w is the width of the bottom. M (W) = (6) The dimensions of the box with minimum surface area are
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