Prepare forecasts for February through May using the double exponential smoothing model with $\backslash$alpha $=0\mathrm{.}3$ and $\backslash$beta $=0\mathrm{.}6.$

$$Assume that the January's unadjusted forecast is $220$ and January's trend factor is $10.$

Round all answers, including any intermediate steps and calculations, to $3$ decimal places.

Period Demand

January $230$

February $245$

March $250$

April $235$

May $240$

February forecast $=$

March forecast $=$

April forecast $=$

May forecast $=$