A company wants to manufacture a tin with a square base and top, each of side length r, and rectangular sides. The material for the sides costs 3 dollars per ft. The material for the top and bottom costs 4 dollars per ft². The tin is said to have volume 5 ft. (Recall that the volume of a box is length x width x height.) The dimensions of the cheapest such container can be found by: 60 A. minimizing the function C(z)= 4r² + 60 B. minimizing the function C(r) = 4r2 + I on (0,00) on (0,00) C. minimizing the function C(z) = 8r²+-on (0,00) 60 D. minimizing the function C(z)=8r²+ on (0,00) I E. minimizing the function C(z)=8²+ on (0,00)
A company wants to manufacture a tin with a square base and top, each of side length r, and rectangular sides. The material for the sides costs 3 dollars per ft. The material for the top and bottom costs 4 dollars per ft². The tin is said to have volume 5 ft. (Recall that the volume of a box is length x width x height.) The dimensions of the cheapest such container can be found by: 60 A. minimizing the function C(z)= 4r² + 60 B. minimizing the function C(r) = 4r2 + I on (0,00) on (0,00) C. minimizing the function C(z) = 8r²+-on (0,00) 60 D. minimizing the function C(z)=8r²+ on (0,00) I E. minimizing the function C(z)=8²+ on (0,00)
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 33E
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![A company wants to manufacture a tin with a square base and top, each of side length , and rectangular
sides. The material for the sides costs 3 dollars per ft²2. The material for the top and bottom costs 4 dollars
per ft2. The tin is said to have volume 5 ft. (Recall that the volume of a box is length x width x height.) The
dimensions of the cheapest such container can be found by:
A. minimizing the function C(r) = 4² +-
60
22
B. minimizing the function C(r) = 4r2 +
60
x
4
C. minimizing the function C(z) = 8r² +
B
on (0,00)
D
on (0,00)
60
D. minimizing the function C(r)=8r²+ on (0,00)
I
E. minimizing the function C(x)=8r²+ on (0,00)
on (0,00)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F699ae69d-2801-4824-8f3f-ea4103b997bd%2Fad872419-eaf7-495f-892a-efd5dcd06516%2Ftz7m8we_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A company wants to manufacture a tin with a square base and top, each of side length , and rectangular
sides. The material for the sides costs 3 dollars per ft²2. The material for the top and bottom costs 4 dollars
per ft2. The tin is said to have volume 5 ft. (Recall that the volume of a box is length x width x height.) The
dimensions of the cheapest such container can be found by:
A. minimizing the function C(r) = 4² +-
60
22
B. minimizing the function C(r) = 4r2 +
60
x
4
C. minimizing the function C(z) = 8r² +
B
on (0,00)
D
on (0,00)
60
D. minimizing the function C(r)=8r²+ on (0,00)
I
E. minimizing the function C(x)=8r²+ on (0,00)
on (0,00)
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