Given the following data, use exponential smoothing with trend adjustment $(=0\mathrm{.}4$ and $=0\mathrm{.}3)$ to develop a demand forecast for period $3.$

Period

Demand

Forecast

Trend

Fit

$1$

$1500$

$1420$

$284$

$21720$

$3$

$1881$

$2085$

$1532$

$2057$