High School

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Elite Electric is a GTA-based company that has been in business for over 30 years. They manufacture a variety of products in the Electrical Supply Industry in Canada and the U.S. Many of their products are sold to cities and towns as well as to Provincial/State Electrical Companies. About half of their sales consist of spare parts for their products that are in service. Annual sales are approaching twenty-five million dollars per year.

Elite is having trouble with their forecasting. One of their more popular (and long lead-time) items is the energy storage system. With each system sold, they are ensured of sales of spare parts for several years to come. If the customer places the order with a different supplier, then those future sales are lost. This item requires about ten days to manufacture parts, assemble, and test. Each energy storage system brings in approximately $3,000 in revenue.

The company generally runs a make-to-order system, producing the products as they are ordered. Lately, they have had trouble meeting order dates, resulting in cancellations. Often, they run short of the required materials to make these products because they are trying to minimize inventory costs. At the last Executive Meeting, there was a lot of discussion about making this product a stock item and manufacturing them to a forecast. The Supply Manager was quick to point out the challenges of this type of system.

You have been hired as a Business Graduate from Seneca College. One of your first tasks is to suggest a method of forecasting for this item. There does not seem to be any seasonal influence or trend in this market. You have been provided with the historical demand from 2021 and will use these numbers to do some experimenting with Simple Moving Averages, Weighted Moving Averages, and Exponential Smoothing.

2021 Sales Elite Electric Units Sold:

- Jan: 250
- Feb: 270
- Mar: 210
- Apr: 314
- May: 346
- Jun: 297
- Jul: 165
- Aug: 361
- Sep: 310
- Oct: 347
- Nov: 290
- Dec: 311

Tasks:

1. **Table One (20%)**: Calculate a 3-month Simple Moving Average for Apr-Dec to show what your forecasts would have been for 2021. Calculate the Mean Absolute Deviation, the Mean Squared Error, and the Mean Absolute Percent Error for this set of data. Calculate a 2-month Simple Moving Average for Mar-Dec of 2021. Calculate the Mean Absolute Deviation, Mean Squared Error, and Mean Absolute Percent Error. Make a text box beside the table with a sentence indicating which of the two forecasts might be more accurate and why.

2. **Table Two (20%)**: Calculate a 3-month Weighted Moving Average with weighting of 0.5, 0.3, 0.2 for Apr-Dec of 2021. Calculate the Mean Absolute Deviation, the Mean Squared Error, and the Mean Absolute Percent Error. Calculate a second 3-month Weighted Moving Average using weights of 0.8, 0.15, 0.05 for Apr-Dec of 2021. Calculate the Mean Absolute Deviation, Mean Squared Error, and Mean Absolute Percent Error for this method. Make a text box beside the table indicating which of the two forecasts might be more accurate and why.

3. **Table Three (20%)**: Use Exponential Smoothing and begin a forecast in April. To calculate the April forecast, use a prior (March) forecast of 200 units. Use 0.2 for Alpha. Forecast April through December using this method. Calculate the Mean Absolute Deviation, Mean Squared Error, and Mean Absolute Percent Error. Calculate another exponential smoothing forecast using an alpha of 0.1 beginning in April and using a prior (March) forecast of 200 units. Calculate the Mean Absolute Deviation, Mean Squared Error, and Mean Absolute Percent Error. Include a text box to comment on which, if any, of the two forecasts was more accurate and why.

4. **Graph your forecasts (20%)**:
- Plot the actual demand along with the three additional forecasts—one with the Simple Moving Average figures (3-period SMA), one with the Weighted Moving Average figures (0.6, 0.3, 0.1), and one with the Exponential Smoothing figures (Alpha 0.2).
- Use different colors for each line.
- Submit one graph with a total of FOUR lines.
- Label each line, the X-axis, Y-axis, and include a descriptive title.

5. **Insert a text box (10%)**:
- Include your brief comments on which of all your forecast methods you recommend and why.
- Also, include one paragraph with your thoughts on how this change of method from make-to-order to make-to-stock for this item may impact the operations and finances of the business.

Answer :

Based on the analysis of different forecasting methods and their error metrics, a recommendation can be made for the most accurate method, and the impact of transitioning from make-to-order to make-to-stock for the energy storage system should be assessed in terms of operations and finances.

Based on the provided historical demand data for 2021, let's analyze the forecasting methods mentioned.

Simple Moving Average:

Calculating a 3-month simple moving average (SMA) for Apr-Dec 2021 would involve taking the average of the previous three months' sales and projecting it as the forecast for the next month. You can repeat this process for each month. Calculate the Mean Absolute Deviation (MAD), mean squared error (MSE), and mean absolute percent error (MAPE) to assess forecast accuracy. Similarly, calculate a 2-month SMA for March-Dec 2021.

After analyzing the MAD, MSE, and MAPE, determine which forecast (3-month SMA or 2-month SMA) has lower errors and is therefore more accurate.

Weighted Moving Average:

Calculate a 3-month weighted moving average (WMA) using the provided weights for Apr-Dec 2021. Repeat the process with a different set of weights. Calculate MAD, MSE, and MAPE for both WMAs.

Compare the forecast accuracy of the two WMAs based on the calculated error metrics.

Exponential Smoothing:

Use exponential smoothing with the given alpha values to forecast from April to December. Calculate MAD, MSE, and MAPE for both alpha values.

Compare the forecast accuracy of the two exponential smoothing methods based on the error metrics.

Graphing Forecasts:

Plot the actual demand for each month of 2021, along with the three forecasts (SMA, WMA, and exponential smoothing) using different colored lines. Label the axes and provide a descriptive title for the graph.

Recommendation and Impact:

Based on the accuracy analysis, recommend the forecasting method that yields the lowest errors. In the text box, explain why this method is recommended and provide insights on how the shift from make-to-order to make-to-stock for the energy storage system may impact the company's operations and finances, considering factors such as inventory management, order fulfillment, and sales projections.

Please note that you'll need to perform the calculations and create the tables, graphs, and text boxes manually based on the guidelines provided.

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