High School

Given an actual demand this period of 103, a forecast value for this period of 99, and an alpha of 0.4, what is the exponential smoothing forecast for the next period?

A. 100.6
B. 101.6
C. 103.0
D. 94.6
E. 97.4

Answer :

Final answer:

The exponential smoothing forecast for the next period, given an actual demand this period of 103, a forecast value for this period of 99 and an alpha of 0.4, is 100.6.

Explanation:

The question is about calculating the exponential smoothing forecast for the next period given certain factors. Exponential smoothing is a technique used in time series forecasting which involves calculating a weighted average of past observations, where the weights decrease exponentially as the observations get older.

In your case, you have the following information:

  • Actual demand this period (At): 103
  • Forecast for this period (Ft): 99
  • Smoothing coefficient (alpha, α): 0.4

The exponential smoothing forecast (Ft+1) for the next period is calculated using the formula:

Ft+1 = α*At + (1 - α)*Ft

By plugging in the given values:

Ft+1 = 0.4*103 + (1 - 0.4)*99 = 41.2 + 59.4 = 100.6.

So, the correct option is a. 100.6.

Learn more about Exponential Smoothing Forecast here:

https://brainly.com/question/32646261

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