You need to make a closed box with total volume 1500 cubic inches, but you want to spend as little money as possible. Material for the front and back of the box costs 90 dollars per square inch. Material for the top and bottom of the box costs 100 dollars per square inch. Material for the remaining two sides of the box costs 80 dollars per square inch. a) What should the dimensions of the box be? Please enter the dimensions as a list (in any order). Round each entry to the nearest hundredth. length, width, height =| 11.49,10.22,12.77 %3D b) What is the lowest possible cost for this box? minimum cost = | 70777.98

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter8: Areas Of Polygons And Circles
Section8.CR: Review Exercises
Problem 9CR: Tom Morrow wants to buy some fertilizer for his yard. The lot size is 140 ft by 160 ft. The outside...
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This is a calculus 3 problem. Please explain each step clearly, no cursive writing.

You need to make a closed box with total volume 1500 cubic inches, but you want to spend as little
money as possible.
Material for the front and back of the box costs 90 dollars per square inch.
Material for the top and bottom of the box costs 100 dollars per square inch.
Material for the remaining two sides of the box costs 80 dollars per square inch.
a) What should the dimensions of the box be? Please enter the dimensions as a list (in any order).
Round each entry to the nearest hundredth.
length, width, height
11.49,10.22,12.77
%3D
b) What is the lowest possible cost for this box?
minimum cost =
70777.98
Transcribed Image Text:You need to make a closed box with total volume 1500 cubic inches, but you want to spend as little money as possible. Material for the front and back of the box costs 90 dollars per square inch. Material for the top and bottom of the box costs 100 dollars per square inch. Material for the remaining two sides of the box costs 80 dollars per square inch. a) What should the dimensions of the box be? Please enter the dimensions as a list (in any order). Round each entry to the nearest hundredth. length, width, height 11.49,10.22,12.77 %3D b) What is the lowest possible cost for this box? minimum cost = 70777.98
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