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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 35. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N = 35(1 - ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee. (Hint: First, find the value of k. Round your value of k to three decimal places.) k = N = (b) How many days does the model predict will pass before this employee is producing 25 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 35. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N = 35(1 - ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee. (Hint: First, find the value of k. Round your value of k to three decimal places.) k = N = (b) How many days does the model predict will pass before this employee is producing 25 units per day? (Round your answer to the nearest whole number.) days

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 35. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N 35(1 – ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee. (Hint: First, find the value of k. Round your value of k to three decimal places.) k = N = (b) How many days does the model predict will pass before this employee is producing 25 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 35. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N 35(1 – ekt). After 20 days on the job, a new employee produces 16 units. (a) Find the learning curve for this employee. (Hint: First, find the value of k. Round your value of k to three decimal places.) k = N = (b) How many days does the model predict will pass before this employee is producing 25 units per day? (Round your answer to the nearest whole number.) days
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