Weston,Inc.,produces widgets.To manufacture a new type of widget,it took 18 iterations before the process reached a steady state of 12 hours.If Weston has an 84% learning rate,use the logarithmic approach to calculate the time it took to manufacture the first widget.
A)24.83 hours
B)26.68 hours
C)23.38 hours
D)23.61 hours

Question

Quizplus · Accepted Answer

The time it took to manufacture the first widget can be calculated using the formula for learning curves: $T_n = T_1 \times n^{\log(b)}$, 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. Given that $T_{18} = 12$ hours and the learning rate is 84% (or 0.84), we can rearrange the formula to solve for $T_1$. Using the given values, the calculation yields approximately 24.83 hours.