The first unit of production takes 12 hours to produce and the learning rate is expected to be 80 percent. How long will it take to produce the sixth unit?
A) less than or equal to 6.0 hours
B) greater than 6.0 hours but less than or equal to 7.7 hours
C) greater than 7.7 but less than or equal to 9.5 hours
D) greater than 8.0 hours

Question

Quizplus · Accepted Answer

The learning curve formula is Tn = T1 * n^(log b / log 2), where Tn is the time to produce the nth unit, T1 is the time to produce the first unit, n is the unit number, and b is the learning rate (in decimal form). For the sixth unit with an 80% learning rate, the calculation is 12 * 6^(log 0.8 / log 2) = 12 * 6^(-0.32193) ≈ 7.7 hours. This means the time to produce the sixth unit is greater than 6.0 hours but less than or equal to 7.7 hours.

The First Unit of Production Takes 12 Hours to Produce