An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 2 dollars per square foot, determine the dimensions for a box to have volume = 91 cubic feet which would minimize the cost of construction. The values for the dimension of the base are: The height of the box is:

Elementary Geometry For College Students, 7e
7th Edition
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 34E: The farmer in Exercise 33 has decided to take the fencing purchased and use it to enclose the...
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An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 2 dollars per square foot, determine
the dimensions for a box to have volume = 91 cubic feet which would minimize the cost of construction.
W
]×[
The values for the dimension of the base are:
The height of the box is:
Transcribed Image Text:An open box is to be constructed so that the length of the base is 4 times larger than the width of the base. If the cost to construct the base is 4 dollars per square foot and the cost to construct the four sides is 2 dollars per square foot, determine the dimensions for a box to have volume = 91 cubic feet which would minimize the cost of construction. W ]×[ The values for the dimension of the base are: The height of the box is:
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