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582369 1 Solution Case Chapter 06
Chapter 6
Forecasting

Case Problem 2: Forecasting Lost Sales

1. The data used for the forecast is the Carlson sales data for the 48 months preceding the storm. Using the trend and seasonal method, the seasonal indexes and forecasts of sales assuming the hurricane had not occurred are as follows:

Month
Seasonal Index Month
Forecast ($ million)
January
0.957
September
2.16
February
0.819
October
2.54
March
0.907
November
3.06
April
0.929
December
4.60
May
1.011

June
0.937

July
0.936

August
0.974

September
0.797

October
0.936

November
1.119

December
1.677

2. The data used for this forecast is the total sales for the 48 months preceding the storm for all department sores in the county. Using the trend and seasonal method, the seasonal indexes and forecasts of county-wide department store sales assuming the hurricane had not occurred are as follows:

Month
Seasonal Index Month
Forecast ($ million)
January
0.773
September
50.55
February
0.813
October
53.20
March
0.976
November
66.78
April
0.935
December
103.11
May
0.989

June
0.924

July
0.901

August
1.017

September
0.861

October
0.907

November
1.141

December
1.763

3. By comparing the forecast of county-wide department store sales with actual sales, one can determine whether or not there are excess storm-related sales. We have computed a "lift factor" as the ratio of actual sales to forecast sales as a measure of the magnitude of excess sales.

Forecast Sales ($ million)
Actual Sales ($ million)
Lift Factor

50.55
69.0
1.365

53.20
75.0
1.410

66.78
85.2
1.276

103.11
121.8
1.181 273.64
351.0
1.283

From the analysis a strong case can be made for excess storm related sales. For each month, actual sales exceed the forecast of what sales would have been without the hurricane. For the 4-month total, actual sales exceeded the forecast by 28.3%.

The explanation for the increase is that people had to replace real and personal property damaged by the storm. In addition,

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