The company FeOre is specialized in making rectangular flower boxes with a volume of 0.8 m³. The figure below shows an example of what such an open flower box looks like. Note the square ends on the left and the right! The material to build such a flower box costs €4 per m² for the left and right side, €5 per m² for the front- and backside and €10 per m² for the bottom. H H L a) Show that the cost for building the flower box in terms of the height H can be described by the equation 16 H C(H) = 8H²+ b) Which value of the height H will minimize the total cost needed to build the open flower box? What is the corresponding length of the flower box and the minimal cost in that case?
The company FeOre is specialized in making rectangular flower boxes with a volume of 0.8 m³. The figure below shows an example of what such an open flower box looks like. Note the square ends on the left and the right! The material to build such a flower box costs €4 per m² for the left and right side, €5 per m² for the front- and backside and €10 per m² for the bottom. H H L a) Show that the cost for building the flower box in terms of the height H can be described by the equation 16 H C(H) = 8H²+ b) Which value of the height H will minimize the total cost needed to build the open flower box? What is the corresponding length of the flower box and the minimal cost in that case?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Transcribed Image Text:The company FeOre is specialized in making rectangular flower boxes with a volume of 0.8 m³. The figure
below shows an example of what such an open flower box looks like. Note the square ends on the left and
the right! The material to build such a flower box costs €4 per m² for the left and right side, €5 per m² for
the front- and backside and €10 per m² for the bottom.
H
H
L
a) Show that the cost for building the flower box in terms of the height H can be described by the
equation
16
H
b) Which value of the height H will minimize the total cost needed to build the open flower box?
What is the corresponding length of the flower box and the minimal cost in that case?
C(H) = 8H² +
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning