(project management course)

I need answers + steps for question 3 & 6 and please no hand writing because sometimes it is not clear, Thanks

Task 2 Overview and Requirements The followings are the activities for implementing the proposed national health care system, OneHealth. The project manager estimated the following activities and their durations based on his previous experience in another similar project. Based on the given information answer the following: 1. Draw a network diagram for OneHealth project using the Precedence Diagramming Method. ( 5 points) 2. How many paths are there in this project? List them with the duration of each. (5 points) 3. What is the overall duration of the OneHealth project? (3 point) 4. What is the Critical Path(s) of the project? (3 point) 5. What is the total and free slacks of OneHealth project? Show your work on the diagram. (10 points) 6. Although the development team claimed that the time given for setting up the development environment is sufficient, the project manager was not confident from that claim and he placed 2 extra weeks as a contingency. The project manager also added 3 more contingency weeks just in case other tasks may slip the schedule. Show the effect of these provisions on the network diagram and recalculate the overall duration of the