The daily total cost C(x) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function.   C(x) = 0.000002x3 + 9x + 260   Calculate the following for h = 1, 0.1, 0.01, 0.001, and 0.0001. (Round your answers to four decimal places.)   [C(100+h)-C(100)]/h       Use your results to estimate the rate of change of the total cost function when the level of production is 100 cases/day. (Round your answer to two decimal places.)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
Problem 44PS: A company determines that its weekly profit from manufacturing and selling x units of a certain item...
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The daily total cost C(x) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function.
 
C(x) = 0.000002x3 + 9x + 260
 
Calculate the following for h = 1, 0.1, 0.01, 0.001, and 0.0001. (Round your answers to four decimal places.)
 
[C(100+h)-C(100)]/h
 
 
 
Use your results to estimate the rate of change of the total cost function when the level of production is 100 cases/day. (Round your answer to two decimal places.)
 
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