The demand and order data for a product is given below:

Average demand $=200$ items$/$week$.$ Normally distributed.

Standard deviation of demand $=49$ items$/$week

Order cost $=$$$\frac{100}{?}$ order

Holding cost rate $=20\%$

Unit cost $=$$$40$

Lead time $=1$ week $($constant$)$

Operating weeks $=50$ weeks a year.

a$.$ Calculate the economic order quantity for the product.

b$.$ Calculate the safety stock for the product. Required Cycle Service Level $($CLS$)$ is $95\%.$

c$.$ What are the maximum and average space requirements? Show all calculations to earn full credit.