ou are currently allotted $12$ FTEs from your facility administrator to run your LTC kitchen. You have $1$ full time supervisor, $1$ part time $(20$ hours$)$ supervisor, $2$ full time cooks, $4$ full time kitchen workers, $2$ part time $(16$ hours each$)$ kitchen workers, $1$ full time dishwasher, $2$ full time nutrition associates, $1$ part time $(16$ hours$)$ nutrition associate. You need to hire a part$-$time cold$-$prep employee.

a$.$ How many FTEs are you now using?

b$.$ How many hours would you be allowed to offer the new employee?