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The image you uploaded describes a problem related to inventory management in a supermarket setting. The focus is on managing the stock of "artículos de línea blanca" (white goods), where the goal is to maintain a proper inventory level based on demand patterns. The provided data shows the availability of products over several days.

Here's a summary and the steps needed to approach the problem:

### Problem Overview
- **Objective:** To ensure sufficient stock levels of white goods in a supermarket by analyzing and predicting the depletion of inventory over time.
- **Data Provided:** A table showing the number of days and the corresponding availability of products (stock) over these days.

### Table Data
| Días (Days) | Disponibilidad de Productos (Stock) |
|-------------|-------------------------------------|
| 6           | 3900                                |
| 9           | 2400                                |
| 18          | 1600                                |
| 23          | 700                                 |
| 29          | 100                                 |

### Steps to Solve
1. **Understand the Pattern of Stock Depletion:**
   - Identify the rate at which stock decreases over the days provided.
   - This could involve calculating the average daily reduction in stock.

2. **Modeling the Depletion Rate:**
   - Use a linear or exponential model to predict future stock levels based on the given data.
   - Determine if the stock will reach zero (or a critical level) before a certain number of days.

3. **Calculate the Necessary Stock Replenishment:**
   - Based on the model, calculate when the next stock order should be placed to avoid depletion.
   - Determine the amount of stock that should be ordered to maintain an optimal level.

4. **Recommendation:**
   - Provide a strategy for inventory management to prevent stockouts.
   - Suggest how frequently to monitor stock levels and reorder based on predictions.

Would you like detailed explanations on any of these steps or help in calculating the depletion rate and predictions? Also, here are some related questions to further expand on this topic:

### Questions:
1. How would you calculate the average daily depletion rate based on the given data?
2. What type of predictive model (linear, exponential, etc.) would best fit the data trend observed?
3. How could external factors like seasonal demand affect the stock depletion rate?
4. What is the impact of delayed stock replenishment on customer satisfaction?
5. How could you incorporate a buffer stock into the replenishment model to avoid stockouts?

### Tip:
When analyzing inventory data, always consider the lead time (time between placing an order and receiving the stock) to ensure orders are placed well in advance of expected stockouts.

In a supermarket, certain products, such as white goods, have less demand compared to cleaning products, requiring careful stock management to avoid depletion. Using predictive models, determine the necessary stock levels.

Learn how to use predictive models to manage inventory for white goods in supermarkets. This example focuses on calculating the stock depletion rate over time using linear and exponential models. Practical for real-world inventory management scenarios.

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