a) What advantages do exponential smoothing have over moving average? How does the number of periads in a moving average affect the responsiveness of the forecast? How does the size of the smoothing constant in exponential smoothing affect the responsiveness of the forecast? (5 points) There's a new band in town, Cool Spring, and they want to determine a forecasting method to help them estimate revenue. To date they have generated the folowing revenue: Month Reverue september october November December Januny $990 1,010 980 1,020 970 b) Cakulate forecasts for September - January using linear-trend and double exponential smoothing methods. Use an as 0.25 and = 0.5 (start with initial estimates Se = $300, Tsepi = $20). (15 points) c) Cakulate MAPE for September - January for each method and indicate which method provides the better forecasts; state any necessary assumptions. Explain. (8 points) d) Forecast revenue for February and March based on your preferred method. State any necessary assumptions. (2 points)