Diagnostic Supplies has expected sales of $152,100$ units per year, carrying costs of $$4$ per unit, and an ordering cost of $$8$ per order.

a$.$ What is the economic ordering quantity?

b$-1.$ What is the average inventory?

b$-2.$ What is the total carrying cost?

Assume an additional $40$ units of inventory will be required as safety stock.

c$-1.$ What will the new average inventory be$?$

c$-2.$ What will the new total carrying cost be$?$