Acme,Inc.,produces widgets.To manufacture a new type of widget,it took 25 hours for the first widget.Acme estimates it has a 98% learning rate.Using the logarithmic approach,calculate the time it will take to manufacture the 100th widget.
A)28.96 hours
B)20.28 hours
C)21.88 hours
D)31.61 hours

Question

Quizplus · Accepted Answer

The formula for the logarithmic approach is:

log(T2) = log(T1) - (log(n)/log(r))

where:
T1 = time to produce the first unit
T2 = time to produce the nth unit
n = number of units produced
r = learning rate expressed as a decimal

Substituting the given values, we get:

log(T2) = log(25) - (log(100)/log(0.98))
log(T2) = 1.39794 - (log(100)/-0.00877)
log(T2) = 1.39794 + 2.29735
log(T2) = 3.69529

Taking the antilog of both sides, we get:

T2 = antilog(3.69529)
T2 = 21.88 hours (rounded to two decimal places)

Therefore, the answer is (C) 21.88 hours.

Acme,Inc,Produces Widgets