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yanalaym [24]
3 years ago
7

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 t

ake for the seventh unit to be​ assembled?
Mathematics
1 answer:
pochemuha3 years ago
3 0

Answer:

4.428 hours

Step-by-step explanation:

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

b=\frac{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.

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