   Chapter 6.2, Problem 57E

Chapter
Section
Textbook Problem

Learning Curve The management at a certain factory has found that a worker can produce at most 30 units in a day. The learning curve for the number of units N produced per day after a new employee has worked t days is N = 30 ( 1 − e k t ) After 20 days on the job, a particular worker produces 19 units.(a) Find the learning curve for this worker.(b) How many days should pass before this worker is producing 25 units per day?

(a)

To determine

To calculate: The learning curve for a worker who is on the job after 20 days and produces 19 units.

Explanation

Given: The learning curve for the number of units N produced per day after a new employee has worked t days is N=30(1ekt).

Formula used:

ifx=eythenln(x)=y

Calculation:

Let us consider the expression N=30(1ekt) …… (1)

We have N=19 and t=20 as the worker has produced 19 units after 20 days

(b)

To determine

To calculate: The number of days to be passed before which the worker starts producing 25 units per day.

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