Question 5: Consider the following network for a small project. All times are in weeks; and the network proceeds from node 1 to node 6. a. Draw a network diagram representing the project below. Put the node numbers in circles and draw arrows from node to node, labeling each arrow with the activity letter and estimated duration. b. Determine how many paths there are in this network diagram, and write the paths and their lengths below. For example, a path might be written as A-B-E-G with a length of 12 weeks. c. Given the above information, what is the minimum amount of time this project will take to complete? d. Which activities or tasks are on the critical path? e. Assume activity A has an optimistic duration estimate of 2 weeks, a most likely estimate of 4 weeks, and a pessimistic estimate of 12 weeks. What would be the PERT estimate for this task? Show your work/calculations. Question 6: Describe the main purpose of each process group in the second column below. Also list one specific output of each process group in the third column below, as described in your text. Hint: Think about some of the outputs you have or will create for you class projects. For example, one output of initiating would be a kick-off meeting. Use a different output for that one