4. Consider the following project activities: DURATION (WEEKS) 4 ACTIVITY B. D PREDECESSORS None None 5 B E A, C B F 7 3 6 6 8 4. D G H E, G a. (*) Draw the project network diagram. b. (*) Identify all the paths through the network and their lengths. c. (**) Identify all the critical activities and path(s). How long will the entire project take? d. (**) Which activity or activities have the most slack? What are the practical implications of this slack? e. (**) Management has determined that the project must be completed in 25 weeks or less and that "cost is no object." How many paths will need to be crashed in order to meet this goal? Which activities do not need to be considered for crashing? f. **) Just before starting the project, someone points out that (1) activity a really needs to be done before activity C, and (2) activity C needs to be completed before activity G can start. What is the impact on the expected length of the project? 5. Spartan Cabinets is thinking of offering a new line of cabi- nets. The project activities are as follows: DURATION (WEEKS) PREDECESSORS 8 6 ACTIVITY A Hire workers B Install equipment C Order materials D Test equipment E Train workers F Run pilot tests None None None 3 4 B 6 5 A, B C, D a. (**) Identify all the paths through the network and their lengths. Which activities "start" one or more paths? Which activities "end" a path? How will those activities affect ES/EF and LS/LF calculations? b. (**) Identify all the critical activities and path(s). How long will the entire project take? c. (**) Suppose management of Spartan Cabinets has developed additional taformation regarding crashing options for the various activities: ACTIVITY A Hire workers B Install equipment C Order materials NUMBER OF WEEKS CRASH DURATION ACTIVITY CAN COST PER (WEEKS) BE CRASHED WEEK 8 3 $2,000 6 1 4,000 3 1,000 (Continued) ACTIVITY D Test equipment E Train workers F Run pilot tests NUMBER OF WEEKS CRASH DURATION ACTIVITY CAN COST PER EKS BASHED WEEK 2 2,500 5.000 3,000 To illustrate, activity A can be crashed by up to 3 weeks, at a cost of $2,000 per week. Therefore, activity A can be 8, 7, 6, or 5 weeks long, depending on how much money Spartan Cabinets decides to spend to crash the activity. What is the cheapest way to crash the project by 2 weeks? What is the shortest time in which the project can be completed? (Assume that cost is not a concern.)