Question at position 31 ONLY SUBMIT NUMBER ANSWERS (NO TEXT) Compute the sales forecast for the month of January using the 5-month simple moving average forecasting technique and the following data: Monthly sales for the RUOK Company for the last 6 months are as follows: [table]
Month | Units July | 135000 August | 165000 September | 120000 October | 135000 November | 150000 December | 180000
[/table]AnswerONLY SUBMIT NUMBER ANSWERS (NO TEXT) Compute the sales forecast for the month of January using the 5-month simple moving average forecasting technique and the following data: Monthly sales for the RUOK Company for the last 6 months are as follows: [table]
Month | Units July | 135000 August | 165000 September | 120000 October | 135000 November | 150000 December | 180000
[/table][input]

Question

BlackTom AI · Accepted Answer

First, I will restate the problem setup to ensure clarity: we need to compute the January forecast using a 5-month simple moving average, based on the last six months of data provided (July to December). The values for the last five months used in the forecast are August, September, October, November, and December: 165000, 120000, 135000, 150000, and 180000 units respectively.

Now, evaluate what a 5-month simple moving average entails: you take the average of the five most recent observed values and use that as the forecast for the next period (January). This method smooths short-term fluctuations by distributing equal weight to the last five months.

Option analysis:
- Option presented: 150000
  The average of the five values is calculated as (165000 + 120000 + 135000 + 150000 + 180000) / 5. Adding these gives 750000, and dividing by 5 yields 150000. Therefore, this option aligns exactly with the 5-month SMA result.

- Any alternative numbers (if provided) would need to meet the same SMA calculation: they would have to equal the same average of the five months unless we were using a different data window or a different forecasting method. Since the data window for January is fixed to the previous five months (Aug–Dec) and the SMA is defined as a simple average, deviations would indicate either a different window length or a miscalculation.

In summary, applying the 5-month simple moving average to the months August through December yields a forecast of 150000 units for January, which matches the given numerical option.

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