In Troix City, the learning rate is based on a tripling of output instead of the traditional doubling. The first unit of a long production run was produced in 25 hours. The process has an estimated learning rate of 90 percent. How long will the 15th unit take to produce?
A) 18.67 hours
B) 19.28 hours
C) 20.74 hours
D) 17.23 hours

Question

Quizplus · Accepted Answer

Using the formula for learning curve:
Time for nth unit = Time for first unit x (n^logR/log2)
where, 
n = 15
Time for first unit = 25 hours
R = 3 (as output triples)
log3/log2 = 1.585
Putting the values in the formula, we get:
Time for 15th unit = 25 x (15^1.585) = 362.36 hours
However, we need to adjust this for the 90% learning rate by multiplying with (0.9)^n-1, as follows:
Time for 15th unit = 362.36 x (0.9)^14 = 20.74 hours

Therefore, the best choice is C.

In Troix City, the Learning Rate Is Based on a Tripling