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Cumulative Labor-Hours by the Number of Weeks after Job Begins Weeks (x) Hours (f) 23 4 156 7 1253 10 5636 13 9283 16 10,009 19 10,101 (a) Find the function for the logistic model that gives total number of labor hours where x is the number of weeks after construction begins, with data from 1sxs 19. (Round all numerical values to three decimal places.) 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 rapidly? (Round your answer to three decimal places.) 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 manager will schedule the second job to begin when the number of cumulative labor hours per week for the first job begins to increase less rapidly. How many weeks into the first job should the second job begin? weeks

Cumulative Labor-Hours by the Number of Weeks after Job Begins Weeks (x) Hours (f) 23 4 156 7 1253 10 5636 13 9283 16 10,009 19 10,101 (a) Find the function for the logistic model that gives total number of labor hours where x is the number of weeks after construction begins, with data from 1sxs 19. (Round all numerical values to three decimal places.) 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 rapidly? (Round your answer to three decimal places.) 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 manager will schedule the second job to begin when the number of cumulative labor hours per week for the first job begins to increase less rapidly. How many weeks into the first job should the second job begin? weeks

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Cumulative Labor-Hours by the Number of Weeks after Job Begins Weeks (x) Hours (f) 1 23 4 156 7 1253 10 5636 13 9283 16 10,009 19 10,101 (a) Find the function for the logistic model that gives total number of labor hours where x is the number of weeks after construction begins, with data from 1< x< 19. (Round all numerical values to three decimal places.) 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 rapidly? (Round your answer to three decimal places.) 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 manager will schedule the second job to begin when the number of cumulative labor hours per week for the first job begins to increase less rapidly. How many weeks into the first job should the second job begin? weeks
Transcribed Image Text:Cumulative Labor-Hours by the Number of Weeks after Job Begins Weeks (x) Hours (f) 1 23 4 156 7 1253 10 5636 13 9283 16 10,009 19 10,101 (a) Find the function for the logistic model that gives total number of labor hours where x is the number of weeks after construction begins, with data from 1< x< 19. (Round all numerical values to three decimal places.) 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 rapidly? (Round your answer to three decimal places.) 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 manager will schedule the second job to begin when the number of cumulative labor hours per week for the first job begins to increase less rapidly. How many weeks into the first job should the second job begin? weeks
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