Suppose a manufacturer of copiers has concluded that a 70 percent learning curve applies to the time a new service technician takes to install copy machines. Use the Learning Curve Excel template in MindTap to answer the following questions: a. If the time required to install the first copy machine is estimated to be three hours, what is an estimate of the time required by a new technician to install the third and fourth copiers? Round your answers to one decimal place. For x = 3 it takes hours For x = 4 it takes hours b. If the learning rate changes to 60 or 90 percent, what is an estimate of the time required by a new technician to install the third and fourth copiers? Round your answers to one decimal place. For x = 3 and a 60% LC, it takes For x = 4 and a 60% LC, it takes For x = 3 and a 90% LC, it takes For x = 4 and a 90% LC, it takes hours hours hours hours

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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**Learning Curve Analysis**

This spreadsheet provides a learning curve model to calculate the production time for a series of units. It's designed for educational purposes and is not intended for commercial use. Below is a detailed breakdown of the components:

### Data Input

- **First Unit Time**: 3500
- **% Learning Curve**: 90%

The percentage learning curve and the initial unit time are key inputs. They affect how production time decreases as the number of units increases.

### Calculated Data

The table consists of rows for each unit from 1 to 100. Key columns include:

1. **Unit**: The sequential number of the produced unit.
2. **Time**: The time taken to produce each specific unit.
3. **Cumulative Time**: The total time accumulated up to that unit.
4. **Cumulative Average Time**: The average time taken per unit up to that point.

The values illustrate how production efficiency improves over time as more units are produced.

### Graph: Learning Curve

The adjacent graph visually represents the learning curve. Key features of the graph include:

- **X-axis**: Number of units produced.
- **Y-axis**: Time measurement, with separate lines for individual unit time (blue) and cumulative average time (red).

The graph demonstrates an initial steep decline in production time, showing significant improvement in efficiency, which then plateaus, indicating diminished returns in learning as more units are produced.

This model is fundamental in understanding production efficiencies and cost reductions related to cumulative production.
Transcribed Image Text:**Learning Curve Analysis** This spreadsheet provides a learning curve model to calculate the production time for a series of units. It's designed for educational purposes and is not intended for commercial use. Below is a detailed breakdown of the components: ### Data Input - **First Unit Time**: 3500 - **% Learning Curve**: 90% The percentage learning curve and the initial unit time are key inputs. They affect how production time decreases as the number of units increases. ### Calculated Data The table consists of rows for each unit from 1 to 100. Key columns include: 1. **Unit**: The sequential number of the produced unit. 2. **Time**: The time taken to produce each specific unit. 3. **Cumulative Time**: The total time accumulated up to that unit. 4. **Cumulative Average Time**: The average time taken per unit up to that point. The values illustrate how production efficiency improves over time as more units are produced. ### Graph: Learning Curve The adjacent graph visually represents the learning curve. Key features of the graph include: - **X-axis**: Number of units produced. - **Y-axis**: Time measurement, with separate lines for individual unit time (blue) and cumulative average time (red). The graph demonstrates an initial steep decline in production time, showing significant improvement in efficiency, which then plateaus, indicating diminished returns in learning as more units are produced. This model is fundamental in understanding production efficiencies and cost reductions related to cumulative production.
Suppose a manufacturer of copiers has concluded that a 70 percent learning curve applies to the time a new service technician takes to install copy machines. Use the Learning Curve Excel template in MindTap to answer the following questions:

a. If the time required to install the first copy machine is estimated to be three hours, what is an estimate of the time required by a new technician to install the third and fourth copiers? Round your answers to one decimal place.

- For x = 3 it takes _______ hours
- For x = 4 it takes _______ hours

b. If the learning rate changes to 60 or 90 percent, what is an estimate of the time required by a new technician to install the third and fourth copiers? Round your answers to one decimal place.

- For x = 3 and a 60% LC, it takes _______ hours
- For x = 4 and a 60% LC, it takes _______ hours
- For x = 3 and a 90% LC, it takes _______ hours
- For x = 4 and a 90% LC, it takes _______ hours
Transcribed Image Text:Suppose a manufacturer of copiers has concluded that a 70 percent learning curve applies to the time a new service technician takes to install copy machines. Use the Learning Curve Excel template in MindTap to answer the following questions: a. If the time required to install the first copy machine is estimated to be three hours, what is an estimate of the time required by a new technician to install the third and fourth copiers? Round your answers to one decimal place. - For x = 3 it takes _______ hours - For x = 4 it takes _______ hours b. If the learning rate changes to 60 or 90 percent, what is an estimate of the time required by a new technician to install the third and fourth copiers? Round your answers to one decimal place. - For x = 3 and a 60% LC, it takes _______ hours - For x = 4 and a 60% LC, it takes _______ hours - For x = 3 and a 90% LC, it takes _______ hours - For x = 4 and a 90% LC, it takes _______ hours
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