A job has an 80% learning curve.If the first unit took 40 hours to complete,the fourth unit should take roughly how many hours?
A)20
B)26
C)31
D)35
E)40

Question

Quizplus · Accepted Answer

The learning curve formula is Tn = T1 * n^b, where Tn is the time it takes to produce the nth unit, T1 is the time it takes to produce the first unit, n is the unit number, and b is the learning curve coefficient. The learning curve coefficient can be calculated using b = log(learning percentage) / log(2). For an 80% learning curve, b = log(0.8) / log(2) = -0.3219. Therefore, the time for the 4th unit, T4 = 40 * 4^(-0.3219) ≈ 25.6 hours, which rounds to approximately 26 hours.

A Job Has an 80% Learning Curve