After plotting the following demand data, a manager has concluded that a trend$-$adjusted exponential smoothing model is appropriate to predict future demand.

Period, t At Actual

$1208$

$2219$

$3232$

$4244$

$5258$

$6268$

$7285$

$8296$

$9313$

$10$

Use periods $1$ to $4$ to estimate the initial smoothed trend $($use the increase from day $1$ to day $4$ divided by $3)$ and the actual value for period $4$ to estimate the initial smoothed series. Use $\backslash$alpha $=0\mathrm{.}6$ and $\backslash$beta $=0\mathrm{.}5$ to develop forecasts for periods $5$ through $10.($Round the final answers to $2$ decimal places.$)$

Period, t TAFt

$5$

$6$

$7$

$8$

$9$

$10$