As a consultant, you have been asked to generate a unit demand forecast for a product for year $2014$ using exponential smoothing. The actual demand in year $2013$ was $800.$ The forecast demand in year $2013$ was $960.$ Using these data and a smoothing constant alpha of $0\mathrm{.}3,$ which of the following is the resulting year $2014$ forecast value?

$785$

$813$

$912$

$1,023$

$1,120$