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 4 Immediate Predecessors None A B A B&D E&C Shortest Time Acceleration Possible Cost per day 2 3 $30 1 $15 4 1 $20 2 $40 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 1. 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 ini Task E is 66 67% completed, and already cost $100 iv. Task F is not started yet, and didn't cost anything either