Problem Set $11.$ Based on the information shown below, develop forecasts for April to October using: $($a$)$ A $3-$period weighted moving average model $($w$1=0\mathrm{.}5,$ w$2=0\mathrm{.}3,$ and w$3=0\mathrm{.}2).($b$)$ An exponential smoothing model with $=0\mathrm{.}35.$ Assume the forecast for March was $950.$ Month Actual Demand Jan $1050$ Feb $975$ Mar $1000$ Apr $870$ May $970$ Jun $1220$ Jul $1170$ Aug $1150$ Sep $1235$ Oct $12752.$ Based on the information shown below, calculate MAD, MSE and tracking signal. Week Actual Demand Forecast $17507702690730382071048507905870840678085079158908950920$