A manager has been using a certain technique to forecast demand for project management software at her store. Actual demand and her corresponding predictions are shown below. Month March April May June July Actual Demand 50 41 40 46 43 Manager's Forecast 50 50 45 43 40 a. What was the manager's forecast error for April? b. What was the manager's forecast percent error for July? c. What is the mean squared error for these 5 months of forecasting? d. If the manager had used a 3-month moving average instead of her technique, what would have been her forecast for June? e. If the manager had used simple exponential smoothing with a = 0.2 instead of her technique, what would the forecast for August be, assuming that simple exponential smoothing had produced a perfectly accurate forecast in March