Your manager is trying to determine what forecasting method to use. Based on the following historical data, calculate the following forecast and specify what procedure you would utilize. MONTH ACTUAL DEMAND 1 62 2 65 3 67 4 68 5 71 6 73 7 76 8 78 9 78 10 80 11 12 84 85 a. Calculate the simple three-month moving average forecast for periods 4-12. (Round all calculations to 3 decimal places.) Month Answer is complete and correct. Three-Month Moving Average 45678972 64.670 66.670 68.670 70.670 73.330 75.670 10 77.330 11 78.670 12 80.670 b. Calculate the weighted three-month moving average for the periods 4-12 using weights of 0.50 (for the period t-1); 0.30 (for the period t-2) and 0.20 (for the period t-3). (Round all calculations to 3 decimal places.) Month Answer is complete and correct. Three-Month Weighted Moving Average 4 65.40 5 67.1 6 69.3 7 71.4 8 74.1 9 76.4 10 77.6 11 79.0 12 81.6 c. Calculate the single exponential smoothing forecast for periods 2-12 using an initial forecast (F) of 61 and an a of 0.30. (Round all calculations to 3 decimal places.) Month Answer is complete and correct. Single Exponential Smoothing Forecast 2 61.300 3 62.410 4 63.790 5 65.050 6 66.840 7 68.680 8 70.880 9 73.020 10 74.510 11 76.160 12 78.510 d. Calculate the exponential smoothing with trend component forecast for periods 2-12 using an initial trend forecast (7) of 1.8, an initial exponential smoothing forecast (F) of 60, an of 0.30, and a 0 of 0.30. (Round your answers to 3 decimal places.) Month Answer is complete and correct. Exponential Smoothing with Trend 2 63.100 3 66.400 4 68.334 5 70.229 6 72.525 7 74.776 8 77.361 9 79.823 10 81.390 11 82.959 12 85.350 e-1. Calculate the mean absolute deviation (MAD) for the forecasts made by each technique in periods 4-12. (Round your answers to 3 decimal places.) Answer is complete but not entirely correct. Mean Absolute Deviation Three-month moving average 4.100 Three-month weighted moving average 3.411 Single exponential smoothing forecast 6.220 Exponential smoothing with trend 76.820 e-2. Which forecasting method do you prefer? Exponential smoothing with trend forecast Three-month weighted moving average Three-month moving average Single exponential smoothing forecast