In a Lean Manufacturing environment, a production line processes

$2$

$,$

$0$

$0$

$0$

$$items

daily. If the defect rate is

$5$

$\%$

$,$

$$how many defects should be expected? Additionally, if the

cost to rectify each defect is $

$1$

$0$

$$and the process improvement initiative aims to reduce the

defect rate to

$3$

$\%$

$,$

$$calculate the expected daily cost savings from this improvement. Also, if

the process improvement initiative costs $

$2$

$,$

$0$

$0$

$0$

$$to implement, how many days will it take

for the savings to offset the implementation cost?

$($

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$)$