Peterson Enterprises uses a fixed order quantity inventory control system. The firm operates $50$ weeks per year and has the following characteristics for an item:

Demand $=50,000$ units$/$year

$$Ordering cost $=$ $$30/$order

Inventory$-$carrying cost as a percent of item value $=25\%$

Item $($Unit$)$ value $=$ $$8$

Lead time $=3$ weeks

Standard deviation in weekly demand $=125$ units

$$

What is the total order and inventory$-$holding cost?