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6. A company manufactures and sells x headphone per day. If the cost and revenue equations are: C(x)= 7,000 - 2x and R(x) = 10x -0.001x². 0≤x≤ 10,000 a) Use the differentials to approximate change in revenue if production increase from 2000 to 2010 per day? b) Use the differentials to approximate change in profit if production increase from 2000 to 2010 per day? c) Use part (a) and (b) to approximate change in cost if production increase from 2000 to 2010 per day

6. A company manufactures and sells x headphone per day. If the cost and revenue equations are: C(x)= 7,000 - 2x and R(x) = 10x -0.001x². 0≤x≤ 10,000 a) Use the differentials to approximate change in revenue if production increase from 2000 to 2010 per day? b) Use the differentials to approximate change in profit if production increase from 2000 to 2010 per day? c) Use part (a) and (b) to approximate change in cost if production increase from 2000 to 2010 per day

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.4: Writing And Graphing Equations Of Lines
Problem 80E
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6 A company manufactures and sells x headphone per day. If the cost and revenue equations are: C(x)= 7,000 - 2x and R(x)= 10x -0.001x². 0≤x≤ 10,000 a) Use the differentials to approximate change in revenue if production increase from 2000 to 2010 per day? b) Use the differentials to approximate change in profit if production increase from 2000 to 2010 per day? c) Use part (a) and (b) to approximate change in cost if production increase from 2000 to 2010 per day
Transcribed Image Text:6 A company manufactures and sells x headphone per day. If the cost and revenue equations are: C(x)= 7,000 - 2x and R(x)= 10x -0.001x². 0≤x≤ 10,000 a) Use the differentials to approximate change in revenue if production increase from 2000 to 2010 per day? b) Use the differentials to approximate change in profit if production increase from 2000 to 2010 per day? c) Use part (a) and (b) to approximate change in cost if production increase from 2000 to 2010 per day
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