Description: To manage a project effectively, it will be necessary for you to use techniques for breaking down a project into tasks, scheduling those tasks, assigning people and other resources to accomplish those tasks, and so on. 1. Calculate the expected time for following tasks (1 point each): Task Optimistic Time Pessimistic Time Most Likely Time Expected Time A 3 6 4 B 1 3 2 4 7 6 D D 2 5 3 E 8 33 15 2. Draw a network diagram and Gantt chart for the problem below. You must draw the charts in some automated tool (e.g., MS Project, Power Point, etc.) I recommend you practice by hand and then enter into the tool to turn in. (10 points for Gantt / 10 points for Network Diagram) You will fill in EF, LF, slack, and critical path for question 3. Preceding Event Expected Critical Task Duration EF LF Slack Path? A 2 B A 3 B 4 D 5 E 4 F D, E 3 G F 4 H F 6 G H 5 J G 2 K 1,J 4 3. Derive the earliest finish (EF), latest finish (LF), and total slack for each of the tasks above (begin at time = 0). Which tasks are on the critical path? Use the table above to record your answers. (25 points -- CHECK YOUR WORK, 1 OFF FOR EACH ERROR). You are to do this by hand; but it is ok to check your work with MS Project