d$.$ Calculate the exponential smoothing with trend component forecast for periods $2-12$ using an initial trend forecast $(T_1)$ of $1\mathrm{.}60,$ an initial exponential smoothing forecast $(F_1)$ of $62,$ an $$ of $0\mathrm{.}20,$ and a $$ of $0\mathrm{.}30.$

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

$\backslash$table$[[$Month$,\backslash$table$[[$Exponential Smoothing$],[$with Trend$]]],[2,],[3,],[4,],[5,],[6,],[7,],[8,],[9,],[10,],[11,],[12,]]$

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.

$\backslash$table$[[$MONTH ACTUAL DEMAND,$],[1,59],[2,65],[3,65],[4,67],[5,71],[6,70],[7,77],[8,77],[9,77],[10,75],[11,83],[12,81]]$