Weston,Inc.,produces widgets.To manufacture a new type of widget,it took 15 iterations before the process reached a steady state of 35 hours.If Weston has an 81% learning rate,use the logarithmic approach to calculate the time it took to manufacture the first widget.
A)79.73 hours
B)72.45 hours
C)75.45 hours
D)73.52 hours

Question

Quizplus · Accepted Answer

The time to manufacture the first widget can be calculated using the learning curve formula: $T_n = T_1 \times n^{\log(b)}$, 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, and $b$ is the learning rate. Rearranging the formula to solve for $T_1$ when $n = 15$, $T_n = 35$ hours, and $b = 0.81$, we find $T_1 = 79.73$ hours.