Pa Consider the following information about a small project: Task Budget A B C D E F S200 $500 $200 S400 S300 $100 Duration (days) 2 5 2 4 3 Immediate Predecessors None B B&D E&C Shortest Time Acceleration Possible Cost per day 2 3 $30 1 $15 4 1 $20 2 $10 4 a. (4 Points) Identify the critical path by forward and backward paths. For the tasks that are not on the critical path, identify their slacks. b. (4 Points) At the end of sth day, assume the following progress of the project: i Tasks A, B, D are 100% completed, and the actual costs spent for them are $200, 5500 and $450, respectively. ii. Task C is 50% completed, and already cost $100 II. Task E is 66.67% completed, and already cost $100 iv. Task F is not started yet, and didn't cost anything either. Evaluate the progress of the project by filling the following blanks (both in the table and in the sentence below the table): Budget Scheduled Performed ACWP BCWS BCWP Progress Progress $200 100% 100% $200 $500 100% 100% $500 $200 80 $100 $400 100% $450 $300 66.67% $100 $400 0% Task MOO Total The whole project is "under") budget ("ahead of" / "behind") schedule, and ("above" c (4 Points) Find the cost-effective way to reduce the completion time to 9 days using the format below: Note: When you need to accelerate multiple tasks at the same time, please identify them in a single step, such as "Step - Accelerate task(s)_" and ** by_"_days. Step 1: Accelerate task(s) by days Step 2: Accelerate task(s) by Step 3: Accelerate task(s) by days Step 4: Accelerate tasks) by days days