Bachmann Products, Inc., has found that new products follow a learning curve. The first two units have been completed with the following results:
$$\begin{array} { | r | r | }
\hline \text { Units Produced } & \text { Marginal Labor Time } \
\hline 1 & 80.00 \
\hline 2 & 68.00 \
\hline
\end{array}$$
-
How much time will be needed to complete the 8th unit?
A) 74.00 hours.
B) 57.80 hours.
C) 56.00 hours.
D) 49.13 hours.

Question

Bachmann Products, Inc., has found that new products follow a learning curve. The first two units have been completed with the following results:
$$\begin{array} { | r | r | } 
\hline \text { Units Produced } & \text { Marginal Labor Time } \
\hline 1 & 80.00 \
\hline 2 & 68.00 \
\hline
\end{array}$$
-
How much time will be needed to complete the 8th unit?
A) 74.00 hours.
B) 57.80 hours.
C) 56.00 hours.
D) 49.13 hours.

Quizplus · Accepted Answer

The learning curve can be calculated using the formula: $ Y = aX^b $, where $ Y $ is the time for the Xth unit, $ a $ is the time for the first unit, and $ b $ is the learning rate exponent. The learning rate can be found using the formula: $ b = \frac{\log(\text{time for 2nd unit}/\text{time for 1st unit})}{\log(2)} $. After calculating $ b $, use it to find the time for the 8th unit.

Bachmann Products, Inc - How Much Time Will Be Needed to Complete the Learning

Bachmann Products, Inc -
How Much Time Will Be Needed to Complete the Learning