Discuss the assumptions underlying the basic EOQ formula. Also, state the economic order quantity model, discuss its sensitivity, and explain its significant extensions.

The Economic Order Quantity (EOQ) model is a fundamental concept in operations research and inventory management. It is used to determine the optimal order quantity that minimizes the total cost of inventory, which includes the ordering cost and holding cost. However, the basic EOQ formula is based on several assumptions that may not always hold in real-world scenarios. 

### Assumptions underlying the basic EOQ formula:
1. Constant Demand: The EOQ model assumes that the demand for the product is constant and known. This means that the same quantity is needed each period, and there are no fluctuations or uncertainties in demand. In reality, demand often fluctuates due to seasonality, promotions, or changing market conditions.

2. Constant Lead Time: The lead time, or the time between placing an order and receiving it, is assumed to be constant. This is important because if lead time varies, it could lead to either stockouts or excess inventory. In practice, lead times are often variable, especially if suppliers are located far or subject to delays.

3. No Stockouts: The EOQ model assumes that stockouts do not occur, meaning that inventory is always available to meet demand. However, stockouts can happen in the real world due to inaccurate demand forecasts or _____ ____ _________ ____ ____.
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