The first unit of a product took 832 hours to build, and the learning curve is 90%. How long will it take to make the 25th unit? (Use at least three decimals in the exponent if you use the logarithmic approach.) A) time ≤ 500 hours B) 500

Question

The first unit of a product took 832 hours to build, and the learning curve is 90%. How long will it take to make the 25th unit? (Use at least three decimals in the exponent if you use the logarithmic approach.)
A) time ≤ 500 hours
B) 500 < time ≤ 525
C) 525 < time ≤ 530
D) 530 < time ≤ 550
E) time > 550

Quizplus · Accepted Answer

The learning curve formula is Tn = T1 * n^(log b / log 2), 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 rate (in decimal form). For a 90% learning curve, b = 0.9. Plugging in the values: T25 = 832 * 25^(log 0.9 / log 2) ≈ 520.8 hours. This falls into the range of 500 < time ≤ 525.

The First Unit of a Product Took 832 Hours to Build