Given the following demand and forecast data, and a smoothing constant of $0\mathrm{.}3,$ the Simple Exponential smoothing forecasts for Feb, Mar and April are $($Chose the right option$)$:

D

F

Jan

$1080$

$1080$

Feb

$950$

Mar

$1050$

Note: Di represents demand for period i and Fi represents forecast for period i$.$

a$.1041,1080$ and $1075$ respectively

b$.1090,1065$ and $1047$ respectively

c$.1100,1041$ and $1043\mathrm{.}7$ respectively

d$.1080,1041$ and $1043\mathrm{.}7$ respectively

Consider the model:

$(1-0\mathrm{.}5$B$-02$B$2)$yt $=(1-01$B$)$et

if $5=\mathrm{.}6$; $6=\mathrm{.}24$; $94=60$; $5=71$;$01=\mathrm{.}8$

the forecast for period $6$ is:

a$.54\mathrm{.}06$

Ob$.34\mathrm{.}06$

C$.24\mathrm{.}06$

d$.14$

Question $3$

A forecaster is using an ARIMA$(0,1,0)$ mode to forecast demand and the intercept $($mean$)$ of the model is $5\mathrm{.}7.$ The actual demand for period $4$ is $3.$What is the forecast for period $5?$

a$\mathrm{.}7\mathrm{.}8$

b$.$Cannot be determined

c$\mathrm{.}8\mathrm{.}7$

d$\mathrm{.}32\mathrm{.}6$