The first unit of a product took 832 hours to build, and the learning curve is 75%. How long will it take to make the 30th unit? (Use at least three decimals in the exponent if you use the formula approach.)
A) less than 200 hours
B) from 200 to 225 hours
C) from 225 to 250 hours
D) from 2501 to 275 hours
E) 275 or more hours

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 rate exponent. The learning rate exponent (b) can be calculated using the formula b = log(learning percentage) / log(2). For a 75% learning curve, b = log(0.75) / log(2) = -0.415. To find the time it takes to produce the 30th unit, we use the formula with n = 30: T30 = 832 * 30^(-0.415) ≈ 208.5 hours. This falls within the range of 200 to 225 hours.

The First Unit of a Product Took 832 Hours to Build