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The manager of a fumiture factory finds that it costs $2200 to produce 100 chairs in one day and $5200 to produce 300 chairs in one day. (a) Assuming that the relationship betvween 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. Cx) = (b) Draw a graph of C. 10000| 9000 10000| 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 900아 10000| 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 2000 3000 2000 1000 1000 100 200 300 400 500 600 100 200 300 400 500 600 What is the slope of this line? (c) At vhat rate does the factory's cost increase for every additional chair produced? per chair ㅇ

The manager of a fumiture factory finds that it costs $2200 to produce 100 chairs in one day and $5200 to produce 300 chairs in one day. (a) Assuming that the relationship betvween 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. Cx) = (b) Draw a graph of C. 10000| 9000 10000| 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 900아 10000| 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 2000 3000 2000 1000 1000 100 200 300 400 500 600 100 200 300 400 500 600 What is the slope of this line? (c) At vhat rate does the factory's cost increase for every additional chair produced? per chair ㅇ

Algebra and Trigonometry (MindTap Course List)
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...
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The manager of a fumiture factory finds that it costs $2200 to produce 100 chairs in one day and $5200 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. C 10000 10000 9000 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000F 100 200 300 400 500 600 100 200 300 400 500 600 C 10000 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 What is the slope of this line? (c) At what rate does the factory's cost increase for every additional chair produced? per chair
Transcribed Image Text:The manager of a fumiture factory finds that it costs $2200 to produce 100 chairs in one day and $5200 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. C 10000 10000 9000 9000 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 1000F 100 200 300 400 500 600 100 200 300 400 500 600 C 10000 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 What is the slope of this line? (c) At what rate does the factory's cost increase for every additional chair produced? per chair
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