The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4400 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.C10 00010 000900090008000800070007000600060005000500040004000300030002000200010001000X10020030040050060010020030040050060010 00010 000900090008000800070007000600060005000500040004000300030002000200010001000X100200300400500600100200300400500600What is the slope of this line?(c) At what rate does the factory's cost increase for every additional chair produced?per chairO X

For x = 100 chairs, cost = $ 2200 For x = 300 chairs, cost = $ 4400 Hence, equation of this…

The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4400 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.

The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4400 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.

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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Manufacturing Cost The manager of a furniture factory finds that it costs 2200 to produce 100 chairs in one day and 4800 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. b Draw a graph of C. What is the slope of this line? c At what rate does the factorys cost increase for every additional chair produced?
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