Acme,Inc.,produces widgets.To manufacture a new type of widget,it took 60 hours for the first widget.Acme estimates it has a 90% learning rate.Using the logarithmic approach,calculate the time it will take to manufacture the 35th widget.
A)34.98 hours
B)29.30 hours
C)44.55 hours
D)22.94 hours

Question

Quizplus · Accepted Answer

The time to manufacture the 35th widget can be calculated using the formula for learning curves: $T_n = T_1 \times n^{log_b(a)}$, where $T_n$ is the time it takes to produce the nth unit, $T_1$ is the time it takes to produce the first unit, $n$ is the unit number, $a$ is the learning rate (as a decimal), and $b$ is the base of the learning curve (typically 2 for a 90% learning curve). Plugging in the values: $T_{35} = 60 \times 35^{log_2(0.9)}$, which calculates to approximately 34.98 hours.

Acme,Inc,Produces Widgets