The actual demand for a product in a company is 79 units. The previous forecast and exponential smoothening factor are 84 units and 0.25, respectively. What will be the forecast (of the product units) for the next period? 

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HPCL Engineer Mechanical 04 Nov 2022 Official Paper (Shift 2)
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  1. 81.75
  2. 80.25
  3. 82.75
  4. 81.25

Answer (Detailed Solution Below)

Option 3 : 82.75
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Detailed Solution

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Concept:-

Simple exponential method -

This forecasting method is the most widely used of all forecasting techniques.

The simple exponential forecasting method has the formula for getting the forecasted value as,

Ft+1 = Ft + α(Dt - Ft) ​   .......Eqn(1)

Where

Ft +1 = Forecasted value of time series at time t+1

Ft = Forecasted value of time series at time t

Dt = Actual value of time series at time t

α = Smoothing constant 

Given:-

Ft = 84, Dt = 79, α = 0.25, Ft +1 =?

Calculation:-

By using equation (1), 

 Ft+1 = Ft + α(Dt - Ft) ​

Ft+1 = 84 + 0.25(79-84) = 84 - 1.25 = 82.75

Ft+1 = 82.75

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