Problems

1. Sales for a product for the past three months have been 200, 350, and 287. Use a three-month moving average to calculate a forecast for the fourth month. If the actual demand for month 4 turns out to be 300, calculate the forecast for month 5.

2. Lauren's Beauty Boutique has experienced the following weekly sales:

Week Sales
1 432
2 396
3 415
4 458
5 460

Forecast sales for week 6 using the naïve method, a simple average, and a three-period moving average.

3. Hospitality Hotels forecasts monthly labor needs.

  • (a) Given the following monthly labor figures, make a forecast for June using a three-period moving average and a fiveperiod moving average.
    Month Actual Values
    January 32
    February 41
    March 38
    April 39
    May 43
  • (b) What would be the forecast for June using the naïve method?
  • (c) If the actual labor figure for June turns out to be 41, what would be the forecast for July using each of these models?
  • (d) Compare the accuracy of these models using the mean absolute deviation (MAD).
  • (e) Compare the accuracy of these models using the mean squared error (MSE).

4. The following data are monthly sales of jeans at a local department store. The buyer would like to forecast sales of jeans for the next month, July.

  • (a) Forecast sales of jeans for March through June using the naïve method, a two-period moving average, and exponential smoothing with an α = 0.2. (Hint: Use naïve to start the exponential smoothing process.)
  • (b) Compare the forecasts ...

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