$1.$ A firm orders $2500$ units of a part each year from a supplier. The holding cost for this part is

$$50$ per unit per year. The ordering cost is $$100$ per order. Based on this, find the following:

a$.$ Determine economic order quantity.

b$.$ Compute the total annual cost of carrying and ordering inventory, assuming the EOQ value is

used for quantity.

c$.$ Compute the number of orders per year.