$1.$ Based on the information shown below, develop forecasts for April to October using:

$($b$)$ An exponential smoothing model with $\backslash$alpha $=0\mathrm{.}35.$ Assume the forecast for March was $950.$

Month Actual Demand

Jan $1050$

Feb $975$

Mar $1000$

Apr $870$

May $970$

Jun $1220$

Jul $1170$

Aug $1150$

Sep $1235$

Oct $1275$