The personnel manager for a construction company keeps track of the total number of labor hours spent on a constru Cumulative Labor-Hours by the Number of Weeks after Job Begins Weeks (X) 1 M 4 7 10 13 16 19 Hours (f) 27 160 1257 5636 9283 10,011 10,098 (a) Find the function for the logistic model that gives total number of labor hours where x is the number of weeks f(x) (b) Write the derivative equation for the model. (Round all numerical values to three decimal places.) (x) 5 (c) On the interval from week 1 through week 19, when is the cumulative number of labor hours increasing most rap weeks How many labor hours are needed in that week? (Round your answer to three decimal places.) labor hours

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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The personnel manager for a construction company keeps track of the total number of labor hours spent on a constru
Cumulative Labor-Hours by the Number of
Weeks after Job Begins
Weeks (x)
1
4
7
10
13
16
19
Hours (f)
27
160
1257
5636
9283
10,011
10,098
13
(a) Find the function for the logistic model that gives total number of labor hours where x is the number of weeks
f(x) =
(b) Write the derivative equation for the model. (Round all numerical values to three decimal places.)
f(x)
(c) On the interval from week 1 through week 19, when is the cumulative number of labor hours increasing most rap
weeks
How many labor hours are needed in that week? (Round your answer to three decimal places.)
labor hours
(d) If the company has a second job requiring the same amount of time and the same number of labor hours, a good
rapidly. How many weeks into the first job should the second job begin?
weeks
Transcribed Image Text:The personnel manager for a construction company keeps track of the total number of labor hours spent on a constru Cumulative Labor-Hours by the Number of Weeks after Job Begins Weeks (x) 1 4 7 10 13 16 19 Hours (f) 27 160 1257 5636 9283 10,011 10,098 13 (a) Find the function for the logistic model that gives total number of labor hours where x is the number of weeks f(x) = (b) Write the derivative equation for the model. (Round all numerical values to three decimal places.) f(x) (c) On the interval from week 1 through week 19, when is the cumulative number of labor hours increasing most rap weeks How many labor hours are needed in that week? (Round your answer to three decimal places.) labor hours (d) If the company has a second job requiring the same amount of time and the same number of labor hours, a good rapidly. How many weeks into the first job should the second job begin? weeks
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