Bachmann Products,Inc. ,has found that new products follow a learning curve.The first two units have been completed with the following results:
$\begin{array} { | l | r | } \hline \text { Units Procuced } & \text { Marginal Labor Time } \\\hline 1 & 80.00 \\\hline 2 & 68.00 \\\hline\end{array}$
How much time will be needed to complete the 8^th unit?

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} { | l | r | } \hline \text { Units Procuced } & \text { Marginal Labor Time } \\\hline 1 & 80.00 \\\hline 2 & 68.00 \\\hline\end{array}

How much time will be needed to complete the 8^th unit?

Quizplus · Accepted Answer

The learning curve can be calculated using the formula: $ Y = ax^b $, where $ Y $ is the time for the x-th unit, $ a $ is the time for the first unit, $ x $ is the unit number, and $ b $ is the learning curve exponent. The learning rate can be calculated from the first two units: $ 68/80 = 0.85 $. The exponent $ b $ is calculated using $ \log(0.85)/\log(2) $. Using this exponent, the time for the 8th unit can be calculated, resulting in approximately 49.13 hours.

Bachmann Products,Inc How Much Time Will Be Needed to Complete the 8th

Bachmann Products,Inc How Much Time Will Be Needed to Complete the 8^th