5. Given the following network project: Activity A B C D E F G H I J Time (days) 2 3 4 1 5 6 3 4 3 8 Total Cost ($) 1,000 3,000 1,000 2,000 8,000 6,000 9,000 6,000 3,000 8,000 IP A A A B C,D E E,F G,H I a. Develop the network diagram. b. Determine the critical time, path(s) and total cost. c. Construct a cost-time graphic. d. What is the impact on the critical time if activity B is increased by 2 days? 12. Given the following network project where the times are in days: Task A B C D E F Normal Time 2 3 1 2 3 2 Crash Time 1 1 1 1 2 1 Normal Cost ($) 200 100 250 400 300 200 Crash Cost ($) 300 250 250 600 900 350 IP A B,C D E a. Develop the network diagram b. Determine the critical time and path(s). c. What is the minimum time this project can be completed? d. What is the total cost to achieve the answer in part c? e. What is the minimum cost to reduce the project completion time by two days? 14. Given the following network project where the times are in months: Task A B C D E F G H I J K L Normal Time 3 2 5 1.5 4 4 6 3 2 4 4 3 Crash Time 2 1 3 1 3 4 3 2 2 1 2 2 Normal Cost ($) 1,000 1,500 3,000 2,000 1,000 2,000 3,000 1,000 2,000 2,000 2,500 1,000 Crash Cost ($) 2,000 2,000 6,000 4,000 1,500 2,000 9,000 1,500 2,000 3,000 5,000 4,000 IP A, B C, D B, F E, G D G, I H, J K a. Develop the network diagram b. Determine the critical time and path(s). c. What is the minimum time this project can be completed? d. What is the total additional cost to achieve the answer in part c? e. What is the optimal cost to reduce the project completion time by three months? 23. Given the following project network where the times are in weeks and the costs in $. Task Normal Time Crash Time Normal Cost Crash Cost IP A B C D E F G 6 1 8 5 9 12 3 4 1 4 3 5 6 2 8000 4000 8000 10000 10000 20000 14000 4000 24000 24000 18000 36000 18000 A C B,C D,E F 10000 a. Determine the critical time b. Identify the critical path(s). c. What is the minimum time that this project can be completed? d. What is the total cost to achieve the answer in part c? e. What is the optimal system crash time assuming there is a $10,000 per week penalty for every week ove f. What specific tasks are crashed and by how much? g. What is the total system cost associated with the answer in part f? enalty for every week over 20 weeks? \f\f\f\f\f