Question at position 5 Simple Moving Average Forecast Compute the sales forecast for the month of July using the 6-month simple moving average forecasting technique and the following data: (Refer to Slide 31 in Chapter 02 -or- Pages 48 and 49 in the textbook) Monthly sales for the RUOK Company for the last 6 months are as follows: Month Units January 54,000 February 66,000 March 48,000 April 54,000 May 60,000 June 72,000AnswerSimple Moving Average Forecast Compute the sales forecast for the month of July using the 6-month simple moving average forecasting technique and the following data: (Refer to Slide 31 in Chapter 02 -or- Pages 48 and 49 in the textbook) Monthly sales for the RUOK Company for the last 6 months are as follows: Month Units January 54,000 February 66,000 March 48,000 April 54,000 May 60,000 June 72,000[input]简答题
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Question at position 5 Simple Moving Average Forecast Compute the sales forecast for the month of July using the 6-month simple moving average forecasting technique and the following data: (Refer to Slide 31 in Chapter 02 -or- Pages 48 and 49 in the textbook) Monthly sales for the RUOK Company for the last 6 months are as follows: Month Units January 54,000 February 66,000 March 48,000 April 54,000 May 60,000 June 72,000AnswerSimple Moving Average Forecast Compute the sales forecast for the month of July using the 6-month simple moving average forecasting technique and the following data: (Refer to Slide 31 in Chapter 02 -or- Pages 48 and 49 in the textbook) Monthly sales for the RUOK Company for the last 6 months are as follows: Month Units January 54,000 February 66,000 March 48,000 April 54,000 May 60,000 June 72,000[input]简答题

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BlackTom AI · Accepted Answer

A 6-month simple moving average forecast equals the arithmetic mean of the most recent six months’ sales, with each month given equal weight.

Relevant knowledge points:
- Simple moving average (SMA) smooths random variation by averaging the last N observations.
- For an N-month SMA, forecast for the next month = (sum of the last N months’ values) / N.
- SMA treats all N observations equally (no weighting).

Step-by-step reasoning and intermediate calculations:
1. List the six most recent monthly sales (units):
   - January = 54,000
   - February = 66,000
   - March = 48,000
   - April = 54,000
   - May = 60,000
   - June = 72,000
2. Compute the sum of these six months:
   - 54,000 + 66,000 = 120,000
   - 120,000 + 48,000 = 168,000
   - 168,000 + 54,000 = 222,000
   - 222,000 + 60,000 = 282,000
   - 282,000 + 72,000 = 354,000
   - Total = 354,000 units
3. Divide the total by 6 (the number of months) to get the SMA forecast:
   - 354,000 / 6 = 59,000 units

Why this is correct:
- The SMA formula was applied precisely: equal-weighted average of the last six months yields 59,000. This is the standard procedure for a 6-month simple moving average forecast.

Why other possible approaches would give different (and therefore incorrect for this method) results:
- Median of the six values (average of the 3rd and 4th ordered values: 54,000 and 60,000) = 57,000, which is not the SMA.
- A weighted moving average that emphasizes recent months would produce a value different from 59,000.
- A naïve forecast using June’s sales would give 72,000, also different.

Final confirmation: the 6-month simple moving average forecast for July is 59,000 units, matching the provided answer.

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