The cost te build any section of the shed is the unit cost to build a section multiplied by the number of squere feet of a section. We have the unit costs, so now we need ta find the square faetage of each section in terms of x and/er y. The base Depth Length Area Cest The sides 1 Left sde and right side Since these sides hove the some dimensions, find the area and cost ef the left side and then deuble it. Depth Height Area of beth Cest ef beth 2 Front side and beck side Since these sides have the some dimensions, find the area and cest ef the frent side and then double it. Length Height Area of beth = Cest of beth i The reef Depth Length Area Cost
The cost te build any section of the shed is the unit cost to build a section multiplied by the number of squere feet of a section. We have the unit costs, so now we need ta find the square faetage of each section in terms of x and/er y. The base Depth Length Area Cest The sides 1 Left sde and right side Since these sides hove the some dimensions, find the area and cost ef the left side and then deuble it. Depth Height Area of beth Cest ef beth 2 Front side and beck side Since these sides have the some dimensions, find the area and cest ef the frent side and then double it. Length Height Area of beth = Cest of beth i The reef Depth Length Area Cost
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
Please all solve
![The cost to buld ony section of the shed is the unit cost ) to build a section multiplied by the
rumber of squore feet of a section. We have the unit costs, so now we need to find the square foetage
of coch section in terms of x and/or y.
4.
The base!
Depth
Length
Area
Cest
b.
The sides:
1 Left side and right side. Since these sides have the some dimensions, find the area and cost of
the left side ond then double it.
Depth
Height
Area of beth.
Cost of bath
2. Front side and back side. Since these sides have the some dimensions, find the area and cost of
the frent side ond then double it.
Length =
Height =
Area of beth
Cost of beth
The roof:
Depth
Length
Area
Cast
Now we con write eur cost equation in terms of x and y.
d.
The objective functien is the total cost to build the shed. Total cost is the cost te build the base and
the sides and the root. Since the cost te build the left and right sides are the some (and the front and
back) combine these cost terms to get
Total Cost
(cest of base)
(cost of left and right) (cast of front and bock) (cest of roof)
After combining like terma Tetal Cast
The constraint is that thmeof the shedmust be
ef our shed in terms of x and y is (Recall velume of e box is length times width times height)
e, The formula for the volume
(our volume) (length times width times height)
Solve this volume equotion for y
Replace y in your cest function to make it o function of x only, When you are done simplifying the cest
equation you shauld get two terms one with on , one with on x in the denominator of a frection
Present the coefficients of these two terms as reduced froctions. DO NOT APPROXIMATE I would
use the MATH FRAC feature on a graphing calculator or the froction option on Desmes to convert this
quantity te a froctien Show your work below.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee788985-6ee6-4669-9cb4-d143b6c80e7d%2Ff2f5a1aa-daa6-4935-96db-29c266da500d%2Fyjbvv1t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The cost to buld ony section of the shed is the unit cost ) to build a section multiplied by the
rumber of squore feet of a section. We have the unit costs, so now we need to find the square foetage
of coch section in terms of x and/or y.
4.
The base!
Depth
Length
Area
Cest
b.
The sides:
1 Left side and right side. Since these sides have the some dimensions, find the area and cost of
the left side ond then double it.
Depth
Height
Area of beth.
Cost of bath
2. Front side and back side. Since these sides have the some dimensions, find the area and cost of
the frent side ond then double it.
Length =
Height =
Area of beth
Cost of beth
The roof:
Depth
Length
Area
Cast
Now we con write eur cost equation in terms of x and y.
d.
The objective functien is the total cost to build the shed. Total cost is the cost te build the base and
the sides and the root. Since the cost te build the left and right sides are the some (and the front and
back) combine these cost terms to get
Total Cost
(cest of base)
(cost of left and right) (cast of front and bock) (cest of roof)
After combining like terma Tetal Cast
The constraint is that thmeof the shedmust be
ef our shed in terms of x and y is (Recall velume of e box is length times width times height)
e, The formula for the volume
(our volume) (length times width times height)
Solve this volume equotion for y
Replace y in your cest function to make it o function of x only, When you are done simplifying the cest
equation you shauld get two terms one with on , one with on x in the denominator of a frection
Present the coefficients of these two terms as reduced froctions. DO NOT APPROXIMATE I would
use the MATH FRAC feature on a graphing calculator or the froction option on Desmes to convert this
quantity te a froctien Show your work below.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781285741550/9781285741550_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
![Thomas' Calculus (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780134438986/9780134438986_smallCoverImage.gif)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
![Calculus: Early Transcendentals (3rd Edition)](https://www.bartleby.com/isbn_cover_images/9780134763644/9780134763644_smallCoverImage.gif)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
![Calculus: Early Transcendentals](https://www.bartleby.com/isbn_cover_images/9781319050740/9781319050740_smallCoverImage.gif)
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
![Precalculus](https://www.bartleby.com/isbn_cover_images/9780135189405/9780135189405_smallCoverImage.gif)
![Calculus: Early Transcendental Functions](https://www.bartleby.com/isbn_cover_images/9781337552516/9781337552516_smallCoverImage.gif)
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning