none 25 25 Problem 2 (15 points) A project needs to complete 9 tasks. The table below gives the predecessors and normal and minimum durations of each task. The table also gives each task's total direct costs if it is completed within the normal and the minimum durations. The project manager can choose a period of any length between the minimum and normal durations to complete a task. A task's total direct cost scales linearly with its duration. time total cost job predecessor normal min. normal min. A 5 5 B A 6 4 48 54 A 10 8 40 54 D A 7 6 28 30 E B 3 2 42 46 F CE 3 2 13 16 G 2 52 59 H D 2 41 46 1 None 15 9 84 1. (6 points) Identify the critical path(s), the total direct cost, and the project completion time when all tasks are completed within the normal duration. 2. (9 points) Let the indirect cost of project be $15 per day. Select all tasks that need to be carried out in crash mode to minimize the total project cost. Calculate the critical path(s), the total cost, and the project completion time. 1 1 60