Chapter 6.2, Problem 58E

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

Chapter
Section

### Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

# Learning Curve Suppose the management in Exercise 57 requires a new employee to produce at least 20 units per day after 30 days on the job.(a) Find the learning curve that describes this minimum requirement.(b) Find the number of days before a minimal achiever is producing 25 units per day.

(a)

To determine

To calculate: The learning curve for an employee who can produce at most 30 units in a day.

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(1âˆ’ekt).

Formula used:

ifx=eythenln(x)=y

Calculation:

Let us consider the expression N=30(1âˆ’ekt) â€¦â€¦ (1)

The worker is supposed to produce 20 units after 30 days of work. Hence, N=20Â andÂ t=30

(b)

To determine

To calculate: The number of days before a minimal achiever is producing 25 units per day.

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