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The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N = 30(1 – ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee. (Round the exponent to three decimal places.) N = 30 - e (b) How many days does the model predict will pass before this employee is producing 26 units per day? (Round your answer to the nearest whole number.) days

The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N = 30(1 – ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee. (Round the exponent to three decimal places.) N = 30 - e (b) How many days does the model predict will pass before this employee is producing 26 units per day? (Round your answer to the nearest whole number.) days

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.4: Functions Given By Words
Problem 14E: Continued This is a continuation of Exercise 13. As we saw earlier, the stock turnover rate of an...
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The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number of units produced per day after a new employee has worked t days is modeled by N = 30(1 - e ^ (kt)) After 20 days on the job, a new employee produces 16 units.
The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by = 30(1 – ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee. (Round the exponent to three decimal places.) N = 30 - e (b) How many days does the model predict will pass before this employee is producing 26 units per day? (Round your answer to the nearest whole number.) days
Transcribed Image Text:The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 30. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by = 30(1 – ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee. (Round the exponent to three decimal places.) N = 30 - e (b) How many days does the model predict will pass before this employee is producing 26 units per day? (Round your answer to the nearest whole number.) days
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