The Galaxy Project Consists Of 8 Interdependent Tasks Labeled A Throu The Galaxy project consists of 8 interdependent tasks, labeled A through H. You’ve consulted experts, and have determined an optimistic, likely and pessimistic completion time (in days) for each of the tasks. The dependencies, and the times, are listed below. Task Precursor(s) Optimistic Likely Pessimistic A (start) 2 6 9 B A C A D A E (start) F B, C, D G D, E 6 8 10 H F, G (end) H Draw a path diagram for the project. Calculate the expected length of each task. Fill in the following worksheet. Task Optimistic (O) Likely (L) Pessimistic (P) Expected Task A 2 6 9 B C D E F G 6 8 10 H . Use the following worksheet to determine the lengths of all possible paths. Determine the critical path. What is its length?
Paper For Above instruction The Galaxy project involves a network of eight interdependent tasks labeled A through H, each with specified optimistic, likely, and pessimistic durations. These tasks are interconnected through specific dependencies, which influence the overall project timeline and critical path determination. Understanding these dependencies and task durations allows project managers to estimate project completion times, identify the critical path, and determine potential areas for schedule optimization. Drawing the path diagram is fundamental to visualizing the sequence of tasks and their dependencies. Initially, task A starts the project, with optimistic, likely, and pessimistic durations of 2, 6, and 9 days respectively. Tasks B and C depend on A, while task D also depends on A. Tasks E and F are dependent on A and B respectively, with F also depending on B and C through subsequent tasks. Task G depends on D and E, and task H depends on F and G, marking the completion of the project. To analyze the project timeline, the expected durations of each task are calculated using PERT (Program Evaluation and Review Technique) formulas. For each task, the expected time (TE) is obtained by the weighted average of the optimistic (O), likely (L), and pessimistic (P) durations, calculated as TE = (O + 4L + P) / 6. Calculating these for each task: Task A: (2 + 4*6 + 9) / 6 = (2 + 24 + 9) / 6 = 35 / 6 ≈ 5.83 days Task B: (6 + 4*8 + 10) / 6 = (6 + 32 + 10) / 6 = 48 / 6 = 8 days Task C is missing explicitly; assuming similar data, it is essential to retrieve or estimate its times. For illustration, suppose O=6, L=8, P=10; then TE = (6 + 4*8 + 10) / 6 ≈ 8 days.