HW-02-17-10s-Ch7-1 - IE 131 Solutions for Problems due Feb...

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IE 131 Solutions for Problems due Feb 17 (Ch 7) 7.2 A planned project contains the activities shown in the table below, along with their required completion times and precedence. (a) Construct the Gantt chart for the project. (b) Determine the critical path and the estimated time to complete the project. Activity 1 2 3 4 5 6 7 8 9 Activity time (days) 1 4 3 7 5 2 6 9 4 Immediate predecessor - 1 1 1 2 3, 4 5, 6 4 7,8 Solution : Gantt chart Day Activity 0 2 4 6 8 10 12 14 16 18 20 22 1 2 3 4 5 6 7 8 9 Critical path = 1-4-8-9. Estimated time to complete project = 21 days. 7.6 A product development project is planned to contain the activities shown in the table below, along with their required completion times and precedence. (a) Draw the CPM network diagram for the project, labeling all activities and times. (b) Perform a forward pass and backward pass through the network to determine the critical path, the expected duration of the project, and the slack time for each activity. Activity 1 2 3 4 5 6 7 8 9 10 Activity time (weeks) 2 5 4 2 7 5 8 4 3 1 Immediate predecessor - 1 1 2 2, 3 3 4 5 5, 6 7, 8, 9 Solution : (a) CPM network diagram. 9 10 1 3 4 5 8 7 6 3 1 2 2 5 4 7 5 2 4 8
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(b) Network analysis: Activity ES EF LS LF S Critical Path 1 0 2 0 2 0 CP 2 2 7 2 7 0 CP 3 2 6 3 7 1 4 7 9 8 10 1 5 7 14 7 14 0 CP 6 6 11 10 15 4 7 9 17 10 18 1 8 14 18 14 18 0 CP 9 14 17 15 18 1 10 18 19 18 19 0 CP Critical path consists of activities 1, 2, 5, 8, and 10. CP time T cp = 19 weeks. 7.8 The table below lists the activity times and precedence requirements for the activities required to complete a new equipment installation project in a factory. Three time estimates (in weeks) are given for each activity: optimistic time, most likely time, and pessimistic time. (a) Draw the PERT network diagram for the project, labeling all activities and times. (b) Perform a forward pass and backward pass through the network to determine the critical path, the expected duration of the project, and the slack time for each activity. (c) What is the probability that the project will
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