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1. (20 Points) You are the project manager for an engineering firm specializing in energy management systems for electric power utilities. During the proposal preparation process, you and the various engineering task leaders developed the task data shown on the following table. Task Predecessors B D E F G H A A A A CD BF E,G Duration (weeks) 2 15 10 13 18 15 10 5 Please determine the following: a. The project network based on an activity on node representation. Once you have completed part b of this question, please clearly indicate the Critical Path of the network b. Complete the following table, showing each activity's ES, EF, LS and LF times, total slack. (Be sure to use these results to indicate in part a of this question the critical path and project duration.) Activity ES EF LS LF Total Slack A B D E F G H c. Why should a project manager closely monitor progress of tasks in the critical path? ES EF SL Id us Du- LE