You have six scanner technicians. Three work the first shift $($D$),$ three work the second shift $($A$),$ and each is assigned to a specific scanner, which is noted below. Scanning has become backlogged in the past week, so you have decided to evaluate the technician's productivity. You have each scanner record their daily productivity over the next two weeks.

Since they do not have other department responsibilities, all their time is spent on scanning. All technicians worked their full $8-$hour shift daily for the two$-$week $(10$ workday$)$ period under study except for Teresa, who had one half day, and John, who had one personal day. $$

Calculate each technician's hourly productivity and the overall group productivity. Determine if the individuals and group are meeting the benchmark of $12,00$ to $24,00$ scanned images per hour.$($Divide the total number of pages by the total number of hours worked in two weeks to get the number of pages scanned per hour to determine if they met productivity$)$

What conclusions can you draw from this study? To reduce the backlog, recommend a new productivity standard based on the information you gathered.$($Create a $$stretch$$ productivity standard using the difference between the group average and the highest individual$$s average.$)$

If your scanning backlog has been about $1,000$ pages per day, how long will it take to eliminate the backlog using the new productivity standard?$($There are approximately $21,000$ pages in backlog $($original week, plus two for the productivity study$).$

The increase is $1,325$ pages per day, but you must subtract the $1,000$ pages that have been accruing daily, so you will actually reduce the backlog by $325$ pages per hour. Divide the total number of pages in backlog by the extra $325$ pages$)$ Do you have enough staff to handle the current workload if there is no backlog? Justify your response.