The first unit of a product took 832 hours to build, and the learning curve is 70%. How long will it take to make the 10th unit? (Use at least three decimals in the exponent if you use the formula approach.)
A) less than 250 hours
B) from 251 to 275 hours
C) from 276 to 300 hours
D) from 301 to 325 hours
E) 325 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 70% learning curve, b = log(0.70) / log(2) = -0.5145731728297583. To find the time it takes to produce the 10th unit, we use the formula with n = 10: T10 = 832 * 10^(-0.5145731728297583) = 832 * 0.330 = 274.56 hours.

The First Unit of a Product Took 832 Hours to Build