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5. 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 the line. c) At what rate does the factory's cost (marginal cost) increase for every additional chair produced?

5. 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 the line. c) At what rate does the factory's cost (marginal cost) increase for every additional chair produced?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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5. 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 the line. c) At what rate does the factory's cost (marginal cost) increase for every additional chair produced? d) What is the fixed cost of the factory? Interpret your answer. e) Find the daily cost of the factory for producing 200 chairs. f) If the cost for the factory one day was $6000, how many chairs were produced?
Transcribed Image Text:5. 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 the line. c) At what rate does the factory's cost (marginal cost) increase for every additional chair produced? d) What is the fixed cost of the factory? Interpret your answer. e) Find the daily cost of the factory for producing 200 chairs. f) If the cost for the factory one day was $6000, how many chairs were produced?
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