Forecast demand for this data using the following methods:

$1.3-$month moving average

$2.$ Weighted moving average $($use weights $\mathrm{.}5,\mathrm{.}35,\mathrm{.}15)$

$3.$ Simple exponential smoothing $($make up alpha$)$

$4.$ Trend adjusted exponential smoothing $($make up beta$)$

$5.$ Linear trendline

Find MAD for all methods. Optimize alpha and beta for method #$4$ using solver.