For a company that manufactures tennis​ rackets, the average cost per racket is found to be C=390/x+2+1/3x for x≥1​, where x is the number of rackets produced per hour.   Use the differential to approximate the change in average cost per racket if production is​ (A) increased from 25 per hour to 32 per hour and​ (B) increased from 30 per hour to 37 per hour.

Intermediate Algebra
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ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter9: Functions
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For a company that manufactures tennis​ rackets, the average cost per racket is found to be
C=390/x+2+1/3x
for
x≥1​,
where x is the number of rackets produced per hour.
 
Use the differential to approximate the change in average cost per racket if production is​ (A) increased from
25
per hour to
32
per hour and​ (B) increased from
30
per hour to
37
per hour.
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