The ACME Company has recorded the following data for one of its new products over a six$-$month period. $($The company assumes no trend or seasonal effects$)1.$ Demand $($in units of product$)100$ Month January February March $10585$ April May $120135$ June $110$ What would the June forecast have been if made at the end of May, using exponential smoothing with $2$ and a forecast for January of $95$ units? a$.$ b$.$ What would the June forecast have been if made at the end of May, using a three$-$month moving average? What would be the mean absolute deviation $($MAD$)$ ofthe forecast errors for April, May, and June, given the forecasts for these three months were $110,130,$ and $125$ units, respectively? What would the July forecast have been if made at the end of June, using exponential smoothing with a $=$ c$.$ d$.3$ and a forecast for June of $125$ units? $2.$ Sue Sayer is employed as a forecasting analyst for the Barry M$.$ Stiff Casket Corporation. Ms$.$ Sayer has collected the following sales data on Stiff's best$-$selling casket, Model $12-$A: Period Sales $25351233037454064238950$ a$.$ What's the four$-$period moving average forecast for period $7$ made at the end of period $6?$ b$.$ If the forecast for period $1$ were $20,$ what would be the forecast for period $2$ made at the end of period $1$ using basic exponential smoothing and a smoothing constant of a $0\mathrm{.}2$ c$.$ If the base at the end of period $7$ were $39$ and the trend at the end of period $7$ were $4($a $0\mathrm{.}2,$ B$=0\mathrm{.}4),$ what would be the forecast for period $9$ made at the end of period $8?($PLEASE STATE ANY ASSUMPTIONS MADE$)$