Requested daily quantity for a product is $380$ units $($defect freo$).$ The production times $($given as normal time$)$ of the three upteivuut is respectively are as follows: Operation $a=1$min; Operation $b=2$min; and Operation $c=3$min. The defect rates is given as $10\%,20\%$;$5\%$ for each station in serial Workers assigned to these operations will accomplish the conversions. The number of workers in the department is fimited to $10.$ There are two scenarios:

Scenario t: With Rowork

Although the defect rates are given, no product is permitted to lecre the plant with any quality defects. Accordingly, all of the defects must be carrected, and the average time to correct the defect is $150\%$ of the initial conversion time $($Example for $a=$ Imin repair of $a=1\mathrm{.}1,5=1,5$min $).$ The same work teams will accomplish this rework. The plant is run as o one$-$shift $9h\frac{r}{d}oy($meal break of $30$ min $($unpaid$)$; Shart Breaks $2\%5$min; downtime$-35$min$)$ operation. Don't forget The number of workers in the department is limited to $10.$ The performance of employees isPerformances$1\mathrm{.}25($because of qualified warkforce and motivational effect of wage support$).$ A performance belaw $100\%$ or above $125\%$ is nat desired in determining the required number of workers.

Scenario It: Without Rework

There is no rework. The plant is run as a one$-$shift $9h\frac{r}{?}$ day $($meal break of $30$ min $($unpaid$)$; Short Breaks $2**15$ mirt downtime$-35$min$)$ operation. Don't forget: The number of workers in the department is limited to $10.$ The performance of emplayees $1$sPerformancest,$25($because of qualified warkforce and motivational effect of woge support$).$ A performance below $100\%$ or above $125\%$ is not desired in determining the required number of workers.

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