$1.$ This is the following demand data:

Period Demand

$140$

$255$

$360$

$435$

$530$

$652$

$765$

$860$

a$.$ Calculate a three$-$period moving average forecast.

b$.$ Calculate the three$-$period weighted moving average with weights of $0\mathrm{.}2,0\mathrm{.}3,$ and $0\mathrm{.}5.$ Allocate the weights accordingly.

c$.$ Calculate the forecasted data with an exponential smoothening constant of $\backslash$alpha $=0\mathrm{.}3.$

d$.$ Calculate the forecast values using regression and then use the forecasted values to calculate the seasonal multipliers and seasonally adjusted forecast for all the periods.

e$.$ Calculate MAD for the seasonally adjusted forecasted data.