A small copy center uses approximately $27$ boxes of copy paper a week. Experience suggests that usage can be well approximated by a normal distribution with a standard deviation of $7$ box per week. $4$ weeks are required to fill an order for letterhead stationery. Ordering cost is $$4,$ and annual holding cost is $$0\mathrm{.}37$ per box. The manager's desired service level is $0\mathrm{.}7.$ Assume a year is $52$ weeks.

How much is the annual demand rate?

How much is the optimal order quantity? $($keep two decimal places$)$

How many times a year the copy center place a new order of papers? $($keep two decimal places$)$

How many weeks does each order of paper last?

Compute the total annual cost of ordering and carrying boxes of papers:

What is the Z value for the desired service level?

How much safety stock is needed to provide the desired service level?

What is the ROP for the desired service level?