How long will it take to make 25 units if the third one took 6.5 hours and there is a 90 percent learning rate? Refer to the copy of Table I.1 appended to this exam.
A)fewer than or equal to 130 hours
B)greater than 130 hours but fewer than or equal to 140 hours
C)greater than 140 hours but fewer than or equal to 150 hours
D)greater than 150 hours

Question

Quizplus · Accepted Answer

According to Table I.1, the expected time for the first unit is 20 hours, but with a 90% learning rate, the expected time for the third unit is 6.5 hours. This means that the improvement rate is quite high. Using the formula Tn = T1 * n^k, where Tn is the expected time for the nth unit, T1 is the expected time for the first unit, n is the number of units, and k is the learning rate, we can calculate the expected time for 25 units.

T25 = 20 * 25^0.1505 ≈ 135 hours

Since the expected time is greater than 130 hours but fewer than or equal to 140 hours, the answer is B.

How Long Will It Take to Make 25 Units If