A hospital uses $18,000$ syringes each year. The holding cost per box is $$0\mathrm{.}60$

ordering costs are $$96$ per order. The hospital buyer would like to take advantage

of quantity discounts offered by the supplier. The cost structure is as follows:

Use this data to answer the following:

a$.$ At what level is the EOQ?

b$.$ What is the optimal order quantity?

c$.$ What is the total cost at each level after the EOQ level?