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The demand and forecast for February are 12000 and 10275, respectively. Using single exponential smoothening method (smoothening coefficient = 0.25), forecast for the month of March is:  
  • a)
    431  
  • b)
    9587  
  • c)
    10706  
  • d)
    11000 
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The demand and forecast for February are 12000 and 10275, respectively...

According to single exponential smoothing method
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Most Upvoted Answer
The demand and forecast for February are 12000 and 10275, respectively...
Single Exponential Smoothing Method
Single exponential smoothening method is a time series forecasting method that uses a weighted average of past observations to predict future values.

Formula for Single Exponential Smoothing
Ft+1 = α * At + (1-α) * Ft

Where,
Ft+1 = Forecast for the next period
At = Actual value for the current period
Ft = Forecast for the current period
α = Smoothening coefficient (0< />< />

Given Data
Demand for February = 12000
Forecast for February = 10275
Smoothening coefficient (α) = 0.25

Calculation
Using the formula for single exponential smoothing, we can find the forecast for March:

Ft+1 = α * At + (1-α) * Ft

Ft+1 = 0.25 * 12000 + (1-0.25) * 10275
Ft+1 = 3000 + 7706.25
Ft+1 = 10706.25

Therefore, the forecast for the month of March is 10706.25, which is closest to option C (10706).
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The demand and forecast for February are 12000 and 10275, respectively. Using single exponential smoothening method (smoothening coefficient = 0.25), forecast for the month of March is:a)431 b)9587 c)10706 d)11000Correct answer is option 'C'. Can you explain this answer?
Question Description
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