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Jim's Department at a Local Department Store Has Tracked the Sales

question 62

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Jim's department at a local department store has tracked the sales of a product over the last ten weeks. Forecast demand using exponential smoothing with an alpha of 0.4, and an initial forecast of 28.0 for period 1. Calculate the MAD. What do you recommend?
 Period  Demand 1242233264365266307328269251028\begin{array} { | c | c | } \hline \text { Period } & \text { Demand } \\\hline 1 & 24 \\\hline 2 & 23 \\\hline 3 & 26 \\\hline 4 & 36 \\\hline 5 & 26 \\\hline 6 & 30 \\\hline 7 & 32 \\\hline 8 & 26 \\\hline 9 & 25 \\\hline 10 & 28 \\\hline\end{array}
 Answer:  Period  Demand  Forecast  Error  Absolute 12428.0022326.403.403.4032625.040.960.9643625.4210.5810.5852629.653.653.6563028.191.811.8173228.923.083.0882630.154.154.1592528.493.493.49102827.090.910.91 Total 2.6432.03 Average 0.293.56 Bias  MAD \begin{array}{|c|c|l|l|l|l|}\hline\begin{array}{c}\text { Answer: } \\\text { Period }\end{array} & \text { Demand } & \text { Forecast } & \text { Error } & & \text { Absolute } \\\hline 1 & 24 & 28.00 & & & \\\hline 2 & 23 & 26.40 & -3.40 & & 3.40 \\\hline 3 & 26 & 25.04 & 0.96 & & 0.96 \\\hline 4 & 36 & 25.42 & 10.58 & & 10.58 \\\hline 5 & 26 & 29.65 & -3.65 & & 3.65 \\\hline 6 & 30 & 28.19 & 1.81 & & 1.81 \\\hline 7 & 32 & 28.92 & 3.08 & & 3.08 \\\hline 8 & 26 & 30.15 & -4.15 & & 4.15 \\\hline 9 & 25 & 28.49 & -3.49 & & 3.49 \\\hline 10 & 28 & 27.09 & 0.91 & & 0.91 \\\hline & & \text { Total } & 2.64 & & 32.03 \\\hline & & \text { Average } & 0.29 & & 3.56 \\\hline & & & \text { Bias } & & \text { MAD } \\\hline\end{array}
The tracking signal RSFE/MAD = 2.64/3.56 = .742 is low; therefore, keep using the forecasting method.


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