4. A rectangular open-topped box of height h with a square base of side b has a volume of 4 ft. Two of the side faces are made of material costing $40 per square foot. The remaining sides and the bottom cost $20 per square foot. Which values of b and h minimize the cost of the box?
4. A rectangular open-topped box of height h with a square base of side b has a volume of 4 ft. Two of the side faces are made of material costing $40 per square foot. The remaining sides and the bottom cost $20 per square foot. Which values of b and h minimize the cost of the box?
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
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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![4. A rectangular open-topped box of height h with a square base of side b has a volume of
4 ft°. Two of the side faces are made of material costing $40 per square foot. The
remaining sides and the bottom cost $20 per square foot. Which values of b and h
minimize the cost of the box?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F327c4acc-aab0-4600-9811-c42079067cf3%2Fc22b97e0-7d13-481e-a63c-24809e5994b8%2Fi7jlbru_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. A rectangular open-topped box of height h with a square base of side b has a volume of
4 ft°. Two of the side faces are made of material costing $40 per square foot. The
remaining sides and the bottom cost $20 per square foot. Which values of b and h
minimize the cost of the box?
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