Actual data $($in $$1,000)$ for the last five months are provided below. What is the forecast for February,

using a four$-$period weighted moving average with weights of $0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}3$ and $0\mathrm{.}4($greater weight

towards more recent time$)?$

Actual demand values $($in $$1,000)$ for the last three months are provided as follows:

What is the forecast value $($model generated value$)$ for August using exponential smoothing

method with alpha $=0\mathrm{.}4?$ Start your calculation by assuming the forecast value for the month

of May is the same as the actual value for May. Show all the work.