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Your manager is trying to determine what forecasting method to use. Based on the following historical data, calculate the following forecasts and specify what procedure you would utilize. a. Calculate the simple three-month moving average forecast for periods 4-12. (Round your answers to 3 decimal places.) b. Calculate the weighted three-month moving average for periods 412 using weights of 0.30 (for the period t1 ); 0.40 (for the period t2 ). and 0.30 (for the period t3 ). (Do not round intermediate calculations. Round your answers to 1 decimal place.) c. Calculate the single exponential smoothing forecast for periods 2-12 using an inutal forecast ( F j of 55 and an of 0.20. (Do not round intermediate calculations. Round your answers to 3 decimal ploces.) d. Calculate the exponential smoothing with trend component forecast for periods 2-12 using an inital trend forecast ( T ) of 1.90, an initial exponential smoothing forecast (F) of 57 , an of 0.20, and a of 0.10. (Do not round intermediate calculations. Round your onswers to 3 decimal places.) e-1. Calculate the mean absolute deviation (MAD) for the forecasts made by each technique in periods 4-12 (Do not round intermediate calculations. Round your answers to 3 decimal ploces.) e-2. Which forecasting method do you prefer? Single exponential smoothing forecast Three-month weighted moving average Three-month moving average Exponential smoothing with trend forecast