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12-100hw6 - 12-100 Introduction to Civil and Environmental...

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12-100 Introduction to Civil and Environmental Engineering Spring 2008 Homework 6. Due: 5 March 2008 1. Consider the following activities in a project: Activity Predecessors Duration (days) A - 4 B A 8 C A 10 D - 6 E B 2 F B,D 4 G C,D 5 H A,D 6 I H 8 J E,F 3 K E,I 9 L F 10 M G,J,K 5 N G,I 2 O L,N 6 a) Draw a Gantt chart showing the earliest start and earliest finish dates of these activities. What is the total number of days needed to complete this project? Determine the sequence of activities (the critical path) that establishes the total duration of this project. b) Determine the total project duration, and critical path, if activity K takes 12 days instead of 9. c) Determine the total project duration, and critical path, if activity K takes 2 days instead of 9. 2. A construction project has 14 activities, A through N, with predecessors, durations, and manpower requirements as listed in the table below. Draw a Gantt chart for the project. What is the minimum overall project duration? Which activities constitute the critical path? If every activity is started at its earliest possible date, what are the maximum and minimum daily manpower requirements?
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