Answer :
Answer:
The forecast for the next period is given as 100.6 s shown below.
Step-by-step explanation:
In forecasting using exponential smoothing, the applicable formula is given as:
Ft+1 =αDt +(1−α)F
Ft+1 implies the next forecast value,if this month forecast is given, invariably next month forecast is denoted by Ft+1 or Fnext which means next forecast which is the unknown here.
The alpha also known as the weighting factor is given as 0.4
Dt is the actual value for this period at 103 while F is the forecast value for the current period and it is 99.
As a result,by slotting the variables into the formula,the forecast for next period is computed as:
Fnext=0.40(103)+(1-0.4)99
Fnext= 100.6
the exponential smoothing forecast for next period is 100.6 .
Given, Actual demand for the period is 103.
Forecast value F for the period is 99.
[tex]\alpha[/tex] is given as 0.4 .
We know that, the exponential smoothing forecast for next period will be,
[tex]Ft+1 =\alpha \ Dt +(1-\alpha) F[/tex]
Here, Ft+1 denotes the next forecast,The alpha is also known as the weighing factor is given as 0.4. Dt is the actual value for this period which is 103 here and F is the forecast value for the current period which is 99.
Putting the above values in the formulae we have,
[tex]Ft+1=0.4\times103+(1-0.4)\times99[/tex]
[tex]Ft+1=41.2+0.6\times99\\Ft+1=41.2+59.4\\Ft+1=100.6[/tex]
Hence the exponential smoothing forecast for next period is 100.6 .
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https://brainly.com/question/7180475