The manager of the Carpet City outlet needs to make an accurate forecast of the demand for Soft Shag carpet (its biggest seller).

The manager of the Carpet City outlet needs to make an accurate forecast of the demand for SoftShag 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 months:Demand for Soft ShagMonthCarpet (1,000 yd.)182123749515611710812a. Compute a 3-month moving average forecast for months 4 through 9.b. Compute a weighted 3-month moving average forecast for months 4 through 9. Assignweights of .55, .33, and .12 to the months in sequence, starting with the most recent month.c. Compare the two forecasts by using MAD. Which forecast appears to be more accurate?