Q1) Consider the following data for a project to install a new server at the Northland Pines High School: a. Draw the network diagram. b. Calculate the critical path for this project. c. How much slack is in each of the activities G,H, and I? Q3) Consider a project to produce custom door moldings for GMC Acadia cross-over vehicles, described in following Table a. If you start the project immediately, when will it be finished? b. You are interested in completing your project as soon as possible. You have only one option. Suppose you could assign Employee A, currently assigned to activity G, to help Employee B, currently assigned to activity F. Each week that Employee A helps Employee B will result in activity G increasing its time by one week and activity F reducing its time by one week. How many weeks should Employee A work on activity F? Q2) A project for improving a billing process has the following precedence relationships and activity times: a. Draw the network diagram. b. Calculate the critical path for this project. c. Calculate the slack for each activity. Which activities are on the critical path? Q3) The number of heart surgeries performed at Heartville General Hospital has increased steadily over the past several years. The hospital's administration is seeking the best method to forecast the demand for such surgeries in year 6 . The data for the past 5 years are shown. The hospital's administration is considering the following forecasting methods. Begin error measurement in year 3 so all methods are compared for the same years. a. Exponential smoothing, with a=0.6. Let the initial forecast for year 1 be 45 , the same as the actual demand. b. Exponential smoothing, with a=0.9. Let the initial forecast for year 1 be 45 , the same as the actual demand. c. Trend projection with regression. d. Two-year moving average. e. Two-year weighted moving average, using weights 0.6 and 0.4 , with more recent data given more weight. f. If MAD is the performance criterion chosen by the administration, which forecasting method should it choose? g. If MSE is the performance criterion chosen by the administration, which forecasting method should it choose? h. If MAPE is the performance criterion chosen by the administration, which forecasting method should it choose? Q1) A convenience store recently started to carry a new brand of soft drink. Management is interested in estimating future sales volume to determine whether it should continue to carry the new brand or replace it with another brand. The table below provides the number of cans sold per week. Use both the trend projection with regression and the exponential smoothing (let =0.4 with an initial forecast for week 1 of 617) methods to forecast demand for week 13. Compare these methods by using the mean absolute deviation and mean absolute percent error performance criteria. Does your analysis suggest that sales are trending and if so, by how much? Q2) Sales for the past 12 months at Computer Success are given here. a. Use a three-month moving average to forecast the sales for the months May through December. b. Use a four-month moving average to forecast the sales for the months May through December. c. Compare the performance of the two methods by using the mean absolute deviation as the performance criterion. Which method would you recommend? d. Compare the performance of the two methods by using the mean absolute percent error as the performance criterion. Which method would you recommend? e. Compare the performance of the two methods by using the mean squared error as the performance criterion. Which method would you recommend