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Consider the following actual (t At ) and forecast ( t Ft ) demand levels for a

ID: 3180156 • Letter: C

Question

Consider the following actual (tAt) and forecast ( tFt) demand levels for a commercial multiline telephone at Office Max:

  

Time Period

t

Actual Demand

Upper A Subscript tAt

Forecast Demand

Upper F Subscript tFt

1

50.0

50.005

2

45.0

50.00

3

56.0

49.00

4

47.0

50.40

5

?

The first forecast, F1, was derived by observing A1 and setting F1 equal to A1.

Subsequent forecasts were derived by exponential smoothing.

The smoothing constant() used to derive the subsequent forecasts = (round your response to two decimal places).

(Hint: To determine , use either the relationship for period 3 or 4.)

Time Period

t

Actual Demand

Upper A Subscript tAt

Forecast Demand

Upper F Subscript tFt

1

50.0

50.005

2

45.0

50.00

3

56.0

49.00

4

47.0

50.40

5

?

Explanation / Answer

here as we know that for exponential forecasting

forecast =previous month actual* +(1-)*previous month forecast

hence 49 =45+(1-)*50

=0.2

hence forecast for 5th month =47*0.2+50.4*0.8=49.72

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