$7)$ Paper Street Soap Company is having issues with its inventory control and ordering process. Tyler Durden, CEO, has asked you to determine Paper Street$$s economic order quantity and reorder point. The firm uses $250,000$ units per year, pays $$13$ per unit plus a $$650$ set$-$up fee for each order. Additionally, Paper Street prefers to maintain a $10,000$ unit safety stock and has a $9\%$ carrying cost for its inventory and orders typically take $2$ weeks to be delivered.

A$)$ What is Paper Street Soap Company$$s economic order quantity?

B$)$ At this EOQ what are the firm$$s inventory carrying costs and its cost of ordering.

C$)$ At what inventory level should Wayne Enterprises reorder?

D$)$ What is the total cost of ordering and carrying inventories if the order quantity is $10,000$ units? What about $25,000$ units?