An automotive manufacturing company stocks car engines with the following characteristics. The yearly demand for these engines is $19,500$ units$/$year$.$ The annual holding cost for this item is $$4/$unit$/$year $($cost for purchasing one unit $x$ financial cost for holding inventory per unit$).$ The cost for placing an order is $$\frac{25}{?}$ order.

Holding Cost $($cost for purchasing one unit $x$ financial cost for holding inventory per unit$)=$$$\frac{4}{?}$ unit$/$year

a$)$ Calculate the EOQ for the car engines.

b$)$ What is the annual cost for holding for the car engines?

c$)$ What is the reorder point if lead time is $3$ days.