QUESTION $1$a$)$

Requested daily quantity for a product is $500$ units $($defect free$).$ The production times $($given as normal time$)$ of the two operations respectively are as follows: Operation $a=2mi\frac{n}{u}$nit; Operation $b=10mi\frac{n}{?}$ unit. The defect rates is given as $20\%$ for Operation a and $30\%$ for Operation b in serial. Workers assigned to these operations will accomplish the conversions. The performance of the individual employee are expected to be $90\%.$ There are two scenarios:

Scenario I: With Rework

Although the defect rates are given, no product is permitted to leave the plant with any quality defects. Accordingly, all of the defects must be corrected, and the average time to correct the defect is $150\%$ of the initial conversion time. The same work teams will accomplish this rework. The plant is run as a one$-$shift $8h\frac{r}{?}$ day $($meal break of $30$min $($unpaid$)$; Short Breaks $215$min; downtime $=45$min $)$ operation.

$\backslash$table$[[,\backslash$table$[[$With$],[$Repair$]],\backslash$table$[[$Without$],[$Repair$]]],[$Availability $\%],[$Efficiency $\%],[$Flow$($min$/$unit$)=$