Consider the following information about a small project: Task Budget A B D E F $200 $500 $200 $400 $300 $400 Duration (days) 2 5 2 4 3 Immediate Predecessors None A B B&D E&C Shortest Time Acceleration Possible Cost per day 2. 3 $30 1 $15 4 1 $20 2 $10 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 8th 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, $500 and $450, respectively ii. Task Cis 80% completed, and already cost $100 iii. 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) Task iii. 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% B C D E F Total ("ahead of" / "behind") schedule, and ("above" / The whole project is "under") budget 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 days Step 3: Accelerate task(s) by days Step 4: Accelerate task(s) by days