Problem $18-22($Algo$)$ 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 $156258360465574676777881981108311851286$d$.$ Calculate the exponential smoothing with trend component forecast for periods $2-12$ using an initial trend forecast $(T_1)$ of $1\mathrm{.}80,$ an

initial exponential smoothing forecast $(F_1)$ of $64,$ an $a$ of $0\mathrm{.}40,$ and a $$ of $0\mathrm{.}30.$

Note: Do not round intermediate calculations. Round your answers to $3$ decimal places.

Answer is complete and correct.

e$-1.$ Calculate the mean absolute deviation $($MAD$)$ for the forecasts made by each technique in periods $4-12.$

Note: Do not round intermediate calculations. Round your answers to $3$ decimal places.

Answer is complete but not entirely correct.