Question

Question 9 In the table below there is data for demand of 19 periods. Using the forecasting method Exponetial Smoothing and assuming that Dt for period 20 is 74.4, with alpha=0.4, calculate the F21. Period ExS (Ft) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Dt 72.5 73.6 74.9 75.0 76.5 75.6 74.1 74.6 73.4 74.5 63.2 64.3 64.6 64.8 63.3 65.6 64.6 66.4 66.3 74.4 72.5 72.9 73.7 74.2 75.1 75.3 74.8 74.8 74.2 74.3 69.9 67.6 66.4 65.8 64.8 65.1 64.9 65.5 65.8 What is F21? (Write your answer using ONE decimal place)

Answer 1

9)For exponential smoothing forecasting

F_t+1= F_t + α*( D_t - F_t) ,

where Ft_​

here α (alpha) = smoothing constant =0.4,

D₂₀ = 74.4, F₂₀ = 65.8,

So F₂₁ = F₂₀ + α*( D_{​​​​​​20} - F₂₀ )

F₂₁ = 65.8 + 0.4*(74.4 - 65.8)

=69.2

Therefore F₂₁ = 69.2

10)

The answer is d) The shorter of the activities B and C will have slack time

Longer of the activities will be on the critical path, and has no slack