4. Suppose you are deciding on whether to crash a project's activities and you have the following information: Duration 2 Activity Predecessors A | DB ED TE G EF 3 Activity Normal Cost $4,000 B $10,000 $4,000 $5,000 E $2,000 F $8,000 $3,000 Normal Duration 4 weeks 5 weeks 2 weeks 6 weeks 3 weeks 8 weeks 7 weeks Crash Cost $3,000 $8,000 $3,000 $4,000 $2,000 $5,000 $2,000 Crash Duration 3 weeks 4 weeks 1 weeks 4 weeks 3 weeks 7 weeks 6 weeks a) Construct the project's network. What is the project duration? Which activities have slack time? What is the critical path? b) Identify the sequencing of activities to be crashed in the first four steps. Which activities should be crashed first? Why? c) After four iterations of project crashing, what is the number of weeks in the project's duration? d) Assume a project penalty clause kicks in after 19 weeks. The penalty charged is $5000 per week for each week beyond 19 weeks. How would this information impact your decision to crash the project? 4. Suppose you are deciding on whether to crash a project's activities and you have the following information: Duration 2 Activity Predecessors A | DB ED TE G EF 3 Activity Normal Cost $4,000 B $10,000 $4,000 $5,000 E $2,000 F $8,000 $3,000 Normal Duration 4 weeks 5 weeks 2 weeks 6 weeks 3 weeks 8 weeks 7 weeks Crash Cost $3,000 $8,000 $3,000 $4,000 $2,000 $5,000 $2,000 Crash Duration 3 weeks 4 weeks 1 weeks 4 weeks 3 weeks 7 weeks 6 weeks a) Construct the project's network. What is the project duration? Which activities have slack time? What is the critical path? b) Identify the sequencing of activities to be crashed in the first four steps. Which activities should be crashed first? Why? c) After four iterations of project crashing, what is the number of weeks in the project's duration? d) Assume a project penalty clause kicks in after 19 weeks. The penalty charged is $5000 per week for each week beyond 19 weeks. How would this information impact your decision to crash the project