Inventory Management and Economic Order Quantity (EOQ) Analysis: A company purchases inventory with an annual demand of 10,000 units, ordering costs of $200 per order, and holding costs of $2 per unit per year. Calculate the economic order quantity (EOQ) and reorder point for inventory management, and discuss how EOQ analysis optimizes inventory ordering and carrying costs while ensuring uninterrupted supply. Analyze factors that may influence EOQ, such as demand variability, lead time, and inventory storage constraints.