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# Learning Curve

1. A fast-food trainee takes an hour to prepare his first 20 sandwiches, 45 minutes for the second 20, and 38 minutes for the third 20. What will his production rate be after 24 hours of experience?

2. A new bank clerk needed an hour to encode his first 500 checks, 51 minutes for the second 500, and 46 minutes for the third 500. After how many batches of 500 checks will he be able to work at the standard rate of 1,000 checks per hour?

#### Solution Preview

1.A fast-food trainee takes an hour to prepare his first 20 sandwiches, 45 minutes for the second 20, and 38 minutes for the third 20. What will his production rate be after 24 hours of experience?

Learning rate between 1st batch and 2nd batch= 45/60=0.75=75%

Now let us find how much time needed to prepare 3rd batch of 20 sandwiches.
We know that Time needed to produce nth item (Tn) is given by
Tn = T1(n^b)
T1=Time needed to produce first item=60 minute
Where b=ln r / Ln 2
r= learning ...

#### Solution Summary

There are two problems. Solution to first problem depicts the steps to calculate learning rate and then production rate after a certain experience. Solution to second problem calculate number of batches after which a clerk is able to meet a standard rate.

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