Suppose that demand in period 1 was 7 units and the demand in period 2 was 9 units. Assume that the forecast for period 1 was for 5 units. If the firm uses exponential smoothing with an alpha value of .20, what should be the forecast for period 3? (Round answers to two decimal places.)

Respuesta :

Answer:

Step-by-step explanation:

Forecast for period 1 is 5

Demand For Period 1 is 7

Demand for Period  2 is 9  

Forecast  can be given by

[tex]F_{t+1}=F_t+\alpha (D_t-F_t)[/tex]

where

[tex]F_{t+1}=Future Forecast[/tex]

[tex]F_t=Present\ Period\ Forecast[/tex]

[tex]D_t=Present\ Period\ Demand[/tex]

[tex]\alpha =smoothing\ constant[/tex]  

[tex]F_{t+1}=5+0.2(7-5)[/tex]

[tex]F_{t+1}=5.4[/tex]

Forecast for Period 3

[tex]F_{t+2}=F_{t+1}+\alpha (D_{t+1}-F_{t+1})[/tex]

[tex]F_{t+2}=5.4+0.2\cdot (9-5.4)[/tex]

[tex]F_{t+2}=6.12[/tex]