Chapter 2, Problem 63P

To determine

(a)

The time required for 5^th installation.

Answer to Problem 63P

The time required to the 5^th installation is 58.7175hrs.

Explanation of Solution

Given information:

• Time required to install 1^st unit = 75 hours
• Learning curve = 90%

• Learning Curve: The learning curve captures the relationship between the task performance and task repetition

For estimating the time for repetitive tasks is given by following formula:

$\begin{array}{l}{{\displaystyle T}}_N={{\displaystyle T}}_{initial}\times {{\displaystyle N}}^b\\ \end{array}$

Where:

T_N− time required for Nth production

T_initial − time required for 1^st production

N − Number of completed units

b − Learning curve exponent

The learning curve exponent is calculated as

$\begin{array}{l}b=\frac{\log (LC)}{\log 2}\\ \end{array}$

Where: LC − Learning Curve.

Calculation:

We can now calculate the value of b (using the formula 2)

Using the formula (2):

$\begin{array}{l}b=\frac{\log (LC)}{\log 2}\\ b=\frac{\log (0.90)}{\log 2}\\ b=-0.1520\end{array}$

Using the formula (1):

• Calculating Time in the 5^th installation

$\begin{array}{l}{T}_N=T_{initial}\times N^b\\ T_5=75\times 5^{-0.1520}\\ T_5=75\times 0.7829\\ T_5=58.7175\text{hours}\end{array}$

Conclusion:

The time required to the 5^th installation is 58.7175hrs.

To determine

(b)

The time required for 10^th installation.

Answer to Problem 63P

The time required to 10^th installation is 52.85hrs.

Explanation of Solution

Given information:

• Time required to install 1^st unit = 75 hours
• Learning curve = 90%

• Learning Curve: The learning curve captures the relationship between the task performance and task repetition

For estimating the time for repetitive tasks is given by following formula:

$\begin{array}{l}{{\displaystyle T}}_N={{\displaystyle T}}_{initial}\times {{\displaystyle N}}^b\\ \end{array}$

where:

T_N− time required for Nth production

T_initial − time required for 1^st production

N − number of completed units

b − learning curve exponent

The learning curve exponent is calculated as

$\begin{array}{l}b=\frac{\log (LC)}{\log 2}\\ \end{array}$

where: LC − Learning Curve.

Calculation:

We can now calculate the value of b (using the formula 2)

Using the formula (2):

$\begin{array}{l}b=\frac{\log (LC)}{\log 2}\\ b=\frac{\log (0.90)}{\log 2}\\ b=-0.1520\end{array}$

Using the formula (1):

• Calculating Time in the 10^th installation

$\begin{array}{l}{T}_N=T_{initial}\times N^b\\ T_{10}=75\times {10}^{-0.1520}\\ T_{10}=75\times 0.7046\\ T_{10}=52.85hours\end{array}$

Conclusion:

The time required to 10^th installation is 52.85hrs.

To determine

(c)

The time required for 20^th installation.

Answer to Problem 63P

The time required to the 20^th installation is 46.815hrs.

Explanation of Solution

Given information:

• Time required to install 1^st unit = 75 hours
• Learning curve = 90%

• Learning Curve: The learning curve captures the relationship between the task performance and task repetition

For estimating the time for repetitive tasks is given by following formula:

$\begin{array}{l}{{\displaystyle T}}_N={{\displaystyle T}}_{initial}\times {{\displaystyle N}}^b\\ \end{array}$

where:

T_N− time required for Nth production

T_initial − time required for 1^st production

N − number of completed units

b − learning curve exponent

The learning curve exponent is calculated as

$\begin{array}{l}b=\frac{\log (LC)}{\log 2}\\ \end{array}$

where: LC − Learning Curve.

Calculation:

We can now calculate the value of b (using the formula 2)

Using the formula (2):

$\begin{array}{l}b=\frac{\log (LC)}{\log 2}\\ b=\frac{\log (0.90)}{\log 2}\\ b=-0.1520\end{array}$

Using the formula (1):

Calculating Time in the 20^th installation

$\begin{array}{l}{T}_N=T_{initial}\times N^b\\ T_{20}=75\times {20}^{-0.1520}\\ T_{20}=75\times 0.6342\\ T_{20}=47.565hours\end{array}$.

Conclusion:

The time required to the 20^th installation is 47.565hrs.

To determine

(d)

Research on AMCF and write down its similarities with the engineering code of ethics.

Explanation of Solution

The AMFC stands for Association of Management Consulting firms. The members who are a part of this association are expected to adhere to the policies of integrity, collaboration, professionalism, accounting, dedication and respect. While in terms of values and practices both the code of ethics more or less remains the same, and is enforceable on the membership. However, AMFC is mostly for the Management Consulting Firms and may not be sometimes useful from the perceptive of the engineering.