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

MONTH ACTUAL DEMAND

$137$

$240$

$341$

$442$

$544$

$639$

$744$

$845$

$948$

$1047$

a$.$ Calculate the single exponential smoothing forecast for these data using an $\backslash$alpha of $0\mathrm{.}40$ and an initial forecast $($ F$1$

$)$ of $37.$

Note: Round your intermediate calculations and answers to $2$ decimal places.

b$.$ Calculate the exponential smoothing with trend forecast for these data using an $\backslash$alpha of $0\mathrm{.}40,$ a $\backslash$delta of $0\mathrm{.}40,$ an initial trend forecast $($ T$1$

$)$ of $1\mathrm{.}00,$ and an initial exponentially smoothed forecast $($ F$1$

$)$ of $36.$

Note: Round your intermediate calculations and answers to $2$ decimal places.

c$-1.$ Calculate the mean absolute deviation $($MAD$)$ for the last nine months of forecasts.

Note: Round your intermediate calculations and answers to $2$ decimal places.

c$-2.$ Which is best?

multiple choice

Exponential smoothing with trend forecast

Single exponential smoothing forecast