July Actual Demand 400 unitsAugust Actual Demand 350 unitsSeptember Actual Demand 352 unitsUsing simple exponential smoothing, what would your forecast be for October if the exponentially smoothed forecast for the month July was 450 units and the smoothing constant was 0.20.
Question
July Actual Demand 400 unitsAugust Actual Demand 350 unitsSeptember Actual Demand 352 unitsUsing simple exponential smoothing, what would your forecast be for October if the exponentially smoothed forecast for the month July was 450 units and the smoothing constant was 0.20.
Solution
Sorry, there seems to be a misunderstanding. I believe you want me to calculate the forecast for October using simple exponential smoothing. Here's how to do it:
Step 1: Calculate the forecast for August. The formula for simple exponential smoothing is: Forecast = [Actual Demand * (Smoothing Constant)] + [Previous Forecast * (1 - Smoothing Constant)]
So, for August, the calculation would be: Forecast for August = [July Actual Demand * (Smoothing Constant)] + [July Forecast * (1 - Smoothing Constant)] = [400 * 0.20] + [450 * (1 - 0.20)] = 80 + 360 = 440 units
Step 2: Calculate the forecast for September. Using the August forecast and the actual demand for August, we can calculate the forecast for September: Forecast for September = [August Actual Demand * (Smoothing Constant)] + [August Forecast * (1 - Smoothing Constant)] = [350 * 0.20] + [440 * (1 - 0.20)] = 70 + 352 = 422 units
Step 3: Calculate the forecast for October. Finally, using the September forecast and the actual demand for September, we can calculate the forecast for October: Forecast for October = [September Actual Demand * (Smoothing Constant)] + [September Forecast * (1 - Smoothing Constant)] = [352 * 0.20] + [422 * (1 - 0.20)] = 70.4 + 337.6 = 408 units
So, the forecast for October would be 408 units.
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