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Question

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.

The correct answer is

224

Understanding Demand Forecasting with Simple Average

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.

Applying the Simple Average Method

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:

  • July Demand: 200 sets
  • August Demand: 225 sets
  • September Demand: 245 sets

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.

Demand Data and Calculation
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.

Revision Table: Simple Average Method

Key Concepts of Simple Average Forecasting
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.

Additional Information: Other Forecasting Methods

While the simple average method is straightforward, other forecasting techniques exist that might be more suitable depending on the demand pattern.

  • Moving Average: Calculates the average over a fixed number of recent periods, dropping the oldest data as new data becomes available. This makes it more responsive to recent changes than the simple average.
  • Weighted Moving Average: Similar to moving average, but assigns different weights to historical data, giving more weight to recent periods.
  • Exponential Smoothing: A forecasting method that gives decreasingly smaller weights to older observations. It requires a smoothing constant ($\alpha$).
  • Trend Analysis: Used when demand shows a consistent upward or downward pattern over time.
  • Seasonal Forecasting: Used when demand exhibits regular patterns based on the time of year (e.g., higher demand for televisions during holiday seasons).

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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Important Questions from Forecasting

  1. The correlation coefficient between two variables X and Y is found to be 0.6. All the observations on X and Y are transformed using the transformations U = 2 – 3X and V = 4Y + 1. The correlation coefficient between the transformed variables U and V will be

  2. Which of the following lines is known as the trend line?

  3. Name the human resource demand (need) forecasting technique, which solicits estimates of personnel needs from a group of experts, usually managers. The HRP experts act as intermediaries, summarise the various responses and report the findings back to the experts. The experts are surveyed again after they receive this feedback. Summaries and surveys are repeated until the experts' opinions begin to agree. The agreement reached is the forecast of the personnel needs.

    Select the correct option :

  4. Which of the following is a technique used for forecasting?

  5. In a time series forecasting model, the demands for five time periods were 10, 13, 15, 18 and 22. A linear regression fit resulted in an equation F = 6.9 + 2.9t where F is the forecast for period t. The sum of the absolute deviations for the five data is

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