Problem 1 [30 points] Development of a new deluxe version of a particular software product is being considered. The activities necessary for the completion of this project are listed in the table below along with their costs and completion times in weeks. Activity Normal Time Normal Cost Crash Cost Immediate Predecessor A B 4 7 13 8 Crash Time 4 5 11 A A D 4 2,000 2,200 500 2,300 900 3,000 1,400 2,000 3,000 1,500 2,700 1,700 5,400 3,400 4 E F 6 3 4 A B, D C, E F 1 2 G a) Plot the activity network. [10 pts] b) Using the normal time as the activity time, fill in the following table with numbers: [10 pts] Activity EST ECT LST LCT Slack time A B D E F G c) If the project completion time must be reduced by 3 weeks, which activities should be crashed so that the total cost is the lowest? [10 pts]