The manager of the Carpet City outlet needs to make an accurate forecast of the demand for Soft Shag carpet $($its biggest seller$).$ If the manager does not order enough carpet from the carpet mill, customers will buy their carpet from one of Carpet City's many competitors. The manager has collected the following demand data for the past $8$ month. Compute a $3-$month moving average forecast for month $4$ through month $9.$ According to the result from Excel and$/$or POM$-$QM$,$ the forecast for month $4$ is $($type number only, two decimals$)$In the carpet city problem, according to the result from Excel and$/$or POM$-$QM $(3$month moving average$),$ the forecast for month $9$ is $($type number only, two decimals$)$In the carpet city problem, compute the mean absolute deviation $($MAD$)$ for the $3$ month moving average forecasts. It is $($type number only, two decimals$)$