Crew Soccer Shoes Company is considering a change of their current inventory$-$control system for soccer shoes. The information regarding the shoes is given below:

Demand $=80$ pairs$/$week

Lead time $=$ three weeks

Order cost $=$ $$25/$order

Holding cost $=$ $$3\mathrm{.}00/$pair$/$year

Cycle service level $=90$ percent

Standard deviation of weekly demand $=40$

Number of weeks per year $=52$

The company decides to use a fixed$-$order quantity system. What would be the reorder point and the economic order quantity? Round your answers to the nearest whole number.

Economic order quantity:

units

Reorder point:

units

In this system, at the beginning of the current week, the materials manager, Luke Thomas, checked the inventory level of shoes and found $400$ pairs. There were no scheduled receipts and no back orders. Should he place an order? Explain your answer.

Since the inventory level of $400$ pairs is

$-$Select$-$

than the reorder point, Emily

$-$Select$-$

place an order.

If the company changes to a fixed$-$period system and reviews the inventory every two weeks $($T $=2),$ how much safety stock is required? Round your answer to the nearest whole number.

units