The warehouse from the previous problem has decided to change its functional flow network in order to possibly decrease the amount of workers needed.

Consider the following parameters to determine the number of workers needed.

Each shift is $7\mathrm{.}5$ hours

No personnel sharing between departments

$1500$ cases are received per day and palletized to be stored in the Reserve Area

In addition, $250$ pallets $(10$ cases per pallet$)$ are received per day and palletized to be stored in the Reserve Area

Top $20\%$ of SKUs $($accounts for $80\%$ of all cases$)$ assigned to bottom level of racks

Remaining $80\%$ of SKUs $($accounts for $20\%$ of all cases$)$ stay in the rest of the Reserve Area $($upper levels of racks$)$

Pallet put away rate $($from receiving to reserve$)=15$ per hour

Case picking rate from the bottom level of racks $=1000$ per hour

Pallet picking rate from the reserve area $($for either replenishing the bottom level or shipping$)=5$ per hour

How many workers are needed in Area $2($Reserve Area to Bottom level of Racks$)?$

How many workers are needed in Area $4($Reserve Area to Shipping$)?$

How many workers total are needed in the warehouse $?$