An E-commerce firm has four regional fulfillment centers (warehouses). Weekly demand for an item (Product_A) at each warehouse is random and is normally distributed with a mean of 10,000 per week and a standard deviation of 2,000 units per week.

Product_A's unit cost is $10. The inventory holding cost of the company is 25% per year. Assume 50 weeks per year.

Each replenishment order from the supplier of Product_A costs $1,000, which includes the costs associated with placing the order, transportation, receiving, inspection, and put-away labor expenses. The replenishment lead time from the supplier is 1 week. The company's service level goal is 95% (probability of having sufficient inventory to meet demand).

What is the total annual holding cost?