Problem $3-7($Static$)$

The following table contains the demand from the last $10$ months:

$\backslash$table$[[$MONTH$,\backslash$table$[[$ACTUAL$],[$DEMAND$]]],[1,31],[2,34],[3,33],[4,35],[5,37],[6,36],[7,38],[8,40],[9,40],[10,41]]$

a$.$ Calculate the single exponential smoothing forecast for these data using an $a$ of $0\mathrm{.}30$ and an initial forecast $(F_{})$ of $31.($Round your intermediate calculations and answers to $2$ decimal places.$)$

Answer is complete and correct.

$\backslash$table$[[$Month$,\backslash$table$[[$Exponential$],[$Smoothing$]]],[1,31\mathrm{.}00],[2,31\mathrm{.}00],[3,31\mathrm{.}90],[4,32\mathrm{.}23],[5,33\mathrm{.}06],[6,34\mathrm{.}24],[7,34\mathrm{.}77],[8,35\mathrm{.}74],[9,37\mathrm{.}02],[10,37\mathrm{.}91]]$

b$.$ Calculate the exponential smoothing with trend forecast for these data using an $a$ of $0\mathrm{.}30,$ a $$ of $0\mathrm{.}30,$ an initial trend forecast $(T_{?})$ of $1,$ and an initial exponentially smoothed forecast $(F_1)$ of $30.($Round your intermediate calculations and answers to $2$ decimal places.$)$

Answer is not complete.

$\backslash$table$[[$Month$,$FITt$],[1,32\mathrm{.}00$