For problems $4$ through $6,$ use the following time series data:

$\backslash$table$[[$MONTH$,$DEMAND$],[$January $2012,119],[$February$,72],[$March$,113],[$April$,82],[$May$,82],[$June$,131],[$July$,111],[$August$,116],[$September$,89],[$October$,95],[$November$,88],[$December$,90]]$

$(****)$ Develop a three$-$period moving average forecast for April $2012$ through January $2013.$ Calculate the MFE, MAD, values for April through December $2012.$

$(**)$ Develop a two$-$period weighted moving average forecast for March $2012$ through January $2013.$ Use weights of $0\mathrm{.}6$ and $0\mathrm{.}4,$ with the most recent observation weighted higher. Calculate the MFE, MAD, values for Mar through December.

$(**)$ Delop an exponential smoothing forecast $)=(0\mathrm{.}3$ for February $2012$ through January $2013.$ Assume that your forecast for January $2012$ was $100.$ Calculate the MFE, MAD, values for February through December $2013.$