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 $19$ for the three periods from $1$ to $4,$ for an average of $+6\mathrm{.}33$ units.

Period Actual Period Actual

$12026251$

$22217266$

$32168276$

$42219281$

$524110$

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Use $\backslash$alpha $=0\mathrm{.}50$ and $\backslash$beta $=0\mathrm{.}10,$ and TAF of $245$ for period $5.$ Obtain forecasts for periods $6$ through $10.($Round your intermediate calculations and final answers to $2$ decimal places.$)$