In the carpet city problem, compute a weighted $3-$month moving average forecast for month $4$ through month $9.$ Assign weights of $\mathrm{.}55,\mathrm{.}33$ and $\mathrm{.}12$ to the months in sequence, starting with the most recent month. According to the result from Excel and$/$or POM$-$QM$,$ the forecast for month $4$