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. At what level of output will the cumulative production time exceed 200 hours?
A) 8 units
B) 9 units
C) 10 units
D) 11 units

Question

Quizplus · Accepted Answer

To solve this problem, we can use the following formula:
Cumulative Production Time = First Unit Time x (Number of Units)^log(1/Learning Rate)/log(Tripling Factor)
Plugging in the given values, we get:
200 = 25 x (x)^log(1/0.9)/log(3)
Solving for x, we get:
x ≈ 9.932
Since we cannot produce a partial unit, the level of output at which the cumulative production time exceeds 200 hours is when 10 units have been produced. Therefore, the answer is C) 10 units.

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