An XYZ television supplier found a demand of 200 sets in July, 225 sets in August and 245 sets in September. Find the demand forecast for the month for the month of October using simple average method.
224
Demand forecasting is a crucial activity for businesses like the XYZ television supplier to predict future customer demand. Accurate forecasting helps in planning production, inventory, and resources effectively. One of the simplest methods for forecasting is the simple average method.
The simple average method calculates the forecast for the next period by taking the average of the demand from all previous periods for which data is available.
In this problem, we are given the demand data for three consecutive months: July, August, and September. We need to forecast the demand for October using the simple average of these past demands.
Here's the given demand data:
To find the demand forecast for October using the simple average method, we sum up the demand for these three months and divide by the number of months (which is 3).
The formula for simple average demand forecast is:
Demand Forecast = $\frac{\text{Sum of historical demands}}{\text{Number of historical periods}}$
Let's calculate the sum of the demands:
Sum of Demands = Demand in July + Demand in August + Demand in September
Sum of Demands = $200 + 225 + 245$
Sum of Demands = $670$ sets
Now, we apply the simple average formula:
Demand Forecast for October = $\frac{670 \text{ sets}}{3 \text{ months}}$
Demand Forecast for October = $223.33$ sets
Since the options provided are whole numbers, we can consider rounding the forecast. However, let's check the options to see which one is closest or matches the calculation. The options are 224, 200, 175, and 150.
The calculated average is approximately 223.33. The closest option to this value is 224.
| Month | Demand (sets) |
|---|---|
| July | 200 |
| August | 225 |
| September | 245 |
| Total Demand | 670 |
| Number of Months | 3 |
| Simple Average Forecast | $\frac{670}{3} \approx 223.33$ |
Based on the simple average calculation using the demand data for July, August, and September, the forecast for October is approximately 223.33 sets. Among the given options, 224 is the closest value.
| Concept | Description |
|---|---|
| Method Type | Basic quantitative forecasting |
| Calculation | Sum of all historical demands divided by the number of historical periods |
| Data Needed | Historical demand data for past periods |
| Suitability | Useful for stable demand patterns with little to no trend or seasonality. Simple to calculate. |
| Limitations | Does not account for trends, seasonality, or cyclical variations. Can be slow to react to significant changes in demand. |
While the simple average method is straightforward, other forecasting techniques exist that might be more suitable depending on the demand pattern.
Choosing the right forecasting method depends on the characteristics of the demand data (e.g., presence of trends, seasonality) and the desired level of accuracy and complexity. For the XYZ television supplier's data with a slight increase observed, other methods might capture the trend better, but the question specifically asked for the simple average method.
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