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1. Draw the project network diagram clearly showing the precedence structure of the various activities. (see below) 2. Compute the Early Start (ES), Early Finish

1. Draw the project network diagram clearly showing the precedence structure of the various activities. (see below)

2. Compute the Early Start (ES), Early Finish (EF), Late Start (LS) and Late Finish (LF) times of each activity using the Critical Path Method (CPM) and identify the critical activities as well as the project completion time. (see below)

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Table 1: Project tasks, durations and resources required Task id Task Description Resource Required Duration (Days) A B D E F G H I J K L M N Finalize mini-release feature specifications Feature 1 Engine Development Feature 1 Component Development Feature 1 Web/Interface Development Feature 2 Engine Development Feature 2 Component Development Feature 2 Web/Interface Development Integrate Code Test and Fix Prepare Marketing Message Train PSO and Pre-Sales Educate Sales Force Prepare Marketing Material Announce Release 2 8 13 10 15 7 4 4 21 5 2 2 10 1 Tasks that must be completed in advance? None A B A E F D.G H A HJ J J I.K.L.M Product Manager Product Architect Component Developer Web Developer Product Architect Component Developer Web Developer Product Architect Q&A Engineer Product Manager Product Manager Product Manager Marketing Specialist Marketing VP Table 2: Project resources, number available and overtime rates Overtime Rate (S/day) Resource id PM PA CD WD QE MS MVP Task Description Product Manager Product Architect Component Developer Web Developer Q&A Engineer Marketing Specialist Marketing VP Number Available 1 1 2 2 1 1 1 510 450 360 240 Table 3: Maximum possible reduction in task duration if overtime is authorized Task id Task Description Duration (Days) Maximum possible reduction in duration 0 A B C D E F G H I I J K L M N Finalize mini-release feature specifications Feature 1 Engine Developinent Feature 1 Component Development Feature 1 Web/Interface Development Feature 2 Engine Development Feature 2 Component Development Feature 2 Web/Interface Development Integrate Code Test and Fix Prepare Marketing Message Train PSO and Pre-Sales Educate Sales Force Prepare Marketing Material Announce Release 2 8 13 10 15 7 4 4 21 5 2 2 C 4 3 0 2 2 0 S 0 0 0 4 0 10 1 1 ? For example, Integrate Code (Task H) cannot start until the Web/Interface Development work for both Features 1 and 2 (1.e. Tasks D and G) is complete 3 For example, Feature 1 component duration can be reduced to 9 days if the component developer is authorized to work an equivalent of four workdays in overtime. However, the task cannot be shortened beyond 9 days

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