It takes $10$ minutes to process a figurine at the Carving step and another $10$ minutes to process it at the Finishing step. Currently, there are two workers, one for each step, and they work $8$ hours in a day. Assume that both workers always have units to work on; hence, they are never idle.

The owner of the company is planning to hire a third worker to increase production capacity. This worker will spend the first $4$ hours of the day at the Carving step $($working parallelly with the existing worker$)$ and the last $4$ hours of the day at the Finishing step $($working parallelly with the existing worker$).$ Suppose the new worker will also take $10$ minutes to carve and $10$ minutes to finish a figurine.

Wooden figurines are always in high demand. Assume that this will be a capacity$-$constrained system even with three workers. Also assume that there are always enough raw materials available, and all three workers always have units to work on; hence, they are never idle.

$22.$ Under the current system with only two workers, how many completed units $($i$.$e$.,$ units that have undergone both the carving and the finishing steps$)$ does Figurine Co$.$ manufacture in an $8-$hour workday? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$

$23.$ What will be the number of completed units manufactured in an $8$ hour workday under the new system with three workers? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$

$24.$ With three workers, what is the maximum number of units that will accumulate in the WIP buffer between the Carving and the Finishing steps during a day? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$

$25.$ With three workers, how long $($in hours$)$ does an average unit spend in the WIP buffer between the two steps? If your answer is not an integer, provide at least three decimal places, e$.$g$.,7\mathrm{.}500.$