Question

The time to assemble the first unit on a production line is 8 hours. The learning rate is 0.81. Approximately how long will it take for the seventh unit to be​ assembled?

Answer 1

4.428 hours

Explanation:

If the learning rate is 0.81, the slope of the learning curve is:

`b=(ln(0.81))/(ln(2)) \\b=-0.304`

The time it takes to produce the n-th unit is:

`T_n=T_1*n^b`

If T1 = 8 hours, the time required to produce the seventh unit will be:

`T_n=8*7^(-0.304)\\T_n=4.428\ hours`

It will take roughly 4.428 hours.