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 fourth unit?
A) less than or equal to 7.0 hours
B) greater than 7.0 hours but less than or equal to 7.5 hours
C) greater than 7.5 but less than or equal to 8.0 hours
D) greater than 8.0 hours

Question

Quizplus · Accepted Answer

The learning curve formula is Y = aX^b, where Y is the time required to produce the Xth unit, a is the time required to produce the first unit, and b is the learning rate coefficient. In this case, we can calculate the time required to produce the fourth unit using the formula:

Y = aX^b = 12*4^(-0.322) = 7.51

Therefore, the answer is C, greater than 7.5 but less than or equal to 8.0 hours.

The First Unit of Production Takes 12 Hours to Produce