Question

Consider a process restringing tennis rackets. The process starts with a unit cost of $10 for the first unit—that is, c(1) = 10—and a learning rate of LR = 0.9. What will be the unit cost for the 35th unit?

Answer 1

The correct answer is $5.83.

Step-by-step explanation:

According to the scenario, the given data are as follows:

Cost for 1st unit (C1) = $10

Learning rate (LR) = 0.9

So, we can find the unit cost for 35th unit by using logarithmic approach as follows:

`C_(N)` =
`C_(1) N^(b)`

Where,
`C_(N)` = C is for cost and N is for number of unit

`C_(1)` = Cost of 1st unit

`N^(b)` = N is for number of unit and b is for slope of learning curve.

So, b = (Log of the learning rate) / (Log 2)

So, by putting the value, we get

`C_(35)` = $10 ×
`35^{(Log 0.9)/(log 2) }`

= $10 × 0.583

= $5.83

Hence, the unit cost for the 35th unit will be $5.83.