Your manager is trying to determine what forecasting method to use. Based upon the following historical data, calculate the following forecast and specify what procedure you would utilize. $$ Month Actual Demand: $62656768717376787880841285$ a$.$ Calculate the simple three$-$month moving average forecast for periods $4$ to $12.$ b$.$ Calculate the weighted three$-$month moving average using weights of $0\mathrm{.}50,0\mathrm{.}30,$ and $0\mathrm{.}20$ for periods $4$ to $12.$ c$.$ Calculate the single exponential smoothing forecast for periods $2$ to $12$ using an initial forecast $($FI$)$ of $61$ and an a of $0\mathrm{.}30.$ d$.$ Calculate the exponential smoothing with trend component forecast for periods $2$ to $12$ using an initial trend forecast $($T$)$ of $1\mathrm{.}8,$ an initial exponential smoothing forecast $($F$,)$ of $60,$ an a of $0\mathrm{.}30,$ and a $8$ of $0\mathrm{.}30.$ e$.$ Calculate the mean absolute deviation $($MAD$)$ for the forecasts made by each technique in periods $4$ to $12.$ Which forecasting method do you prefer?