Please show your work 1. a. Compute a 3- month moving average forecast for the month of May. b. Compute a 5-month moving average forecast for the month of June. 2. Make a forecast for each month using the exponential smoothing method. The alpha is .3 . 3. A nail salon averages 16 clients per hour. Each client takes 30 minutes for a regular manicure. How many customers are in the salon at any given time during the hour? What if the manicure took 40 minutes to complete? How many would be in the salon then? 4. Our restaurant on Saturday evening averages 300 customers. We want a utilization of 95%. Each server on average can wait on 20 customers per hour. How many servers do we need to accomplish the 95% ? A factory has machinery that will make 4800 items a day. Today we made 3100 items. What was our utilization