Given the following historical demand, what is the weighted moving average forecast (0.4, 0.3, 0.3) for Week 6?
Week 1 = 3000
Week 2 = 5000
Week 3 = 7000
Week 4 = 9000
Week 5 = 11000
Week 6 = Predict using the weighted moving average forecast (0.4, 0.3, 0.3)
Last Period Forecast: F = D
t+1 t
where Ft+1 = forecast for the next period, t+1 and Dt = demand for the current period, t
Moving Average Weighted Moving Average
Forecast Forecast
Ft+1 = nΣ i=1 Dt+1-i/n Ft+1 = nΣ i=1 Wt+1-i Dt+1-i
where Ft+1 = forecast for the next period, t+1 and Dt = actual demand for the period, t +1-i and n = number of most recent demand observations used in the forecast and Wt+1-i = weight assigned to the demand in period, t +1-i.
A. 7000.
B. 9200.
C. 9000.
D. 13000.
E. 8800.