Question 2 - Project Scheduling You decide to give the go-ahead for the project. The high-level project tasks, task budgets, task durations, and task predecessors are detailed in the table below: Task Description Duration (months) Budget Predecessors A Buy and adapt software $20k Develop web interface $10k Develop hardware specs ANDa $2k -- Integrate interface & software $10k A, B Software testing & fixing 10 $20k D Documentation $5k D Procure & install hardware $38k C Train staff $10k F,G Rollout software $5k E, H Part A (10 Points): Draw a network representation of the project (nodes = activities, arrows = precedence constraints). Part B (25 Points): Find Early Start, Early Finish, Late Start, and Late Finish times for each task. Calculate the slack for each activity. What is the Critical Path, and the duration of the project? SHOW YOUR WORK. The Board of Directors for the hospital is excited about the project. They notice that the project duration is quite lengthy and ask you to determine what it would take to reduce the project duration by 4 months. You gather some data, and come up with the following 'crashing' estimates: Task Max. # of Months that can be Crashed Cost of Crashing 1 Month A $3000 B C $500 $4000 I-NNNI- IN $1000 $2000 $2500 Part C (25 Points): What is the cheapest way to 'crash' the project by 4 months? Identify which tasks to crash and the total cost of crashing! BE SURE to show the ideal sequence of tasks to be 'crashed', i.e., which task(s) would be crashed in the first 'round' of reduction, second 'round', etc... SHOW YOUR WORK