The manager of a fumiture factory finds that it costs $2200 to produce 100 chairs in one day and $5400 to produce 300 chairs in one day. (a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x cha C(x) = (b) Draw a graph of c. 10000- 10000 9000 s000 9000 so0 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.5: Linear Functions And Models
Problem 50E: Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs...
icon
Related questions
icon
Concept explainers
Question
The manager of a fumiture factory finds that it costs $2200 to produce 100 chairs in one day and $5400 to produce 300 chairs in one day.
(a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day.
C(x) =
(b) Draw a graph of C.
10 000-
10000|
9000
9000
8000
8000
7000
7000
6000
6000
5000
5000
4000
4000
3000
3000
2000
2000
1000
1000
100 200
300
400
500
600
100
200
300
400
500
600
10000
10000|
9000
9000
8000
8000
7000
7000
6000
6000-
5000
5000
4000
4000
3000
3000
2000
2000
1000
1000
X
100 200
300
400
500
600
100
200
300
400
500
600
What is the slope of this line?
(c) At what rate does the factory's cost increase for every additional chair produced?
%24
per chair
Transcribed Image Text:The manager of a fumiture factory finds that it costs $2200 to produce 100 chairs in one day and $5400 to produce 300 chairs in one day. (a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day. C(x) = (b) Draw a graph of C. 10 000- 10000| 9000 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000 100 200 300 400 500 600 100 200 300 400 500 600 10000 10000| 9000 9000 8000 8000 7000 7000 6000 6000- 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000 X 100 200 300 400 500 600 100 200 300 400 500 600 What is the slope of this line? (c) At what rate does the factory's cost increase for every additional chair produced? %24 per chair
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Ellipses
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill