After plotting demand for four periods, an emergency room manager has concluded that a trend$-$

adjusted exponential smoothing model is appropriate to predict future demand. The initial estimate

of trend is based on the net change of $30$ for the three periods from $1$ to $4,$ for an average of $+10$

units. Use $=\mathrm{.}5$ and $=\mathrm{.}4,$ and TAF of $250$ for period $5.$ Obtain forecasts for periods $6$ through $10.$

With given information and using trend$-$adjusted exponential smoothing model, what is the trend$-$adjusted exponential smoothing forecast for period $10?$

$295\mathrm{.}89$

$305\mathrm{.}92$

$308\mathrm{.}47$

$317\mathrm{.}65$