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- Using the information in Table-1, assuming that the project team will work a standard working week (5 working days in 1 week) and that all tasks will start as soon as possible: Task Description Duration (WorkingDays) Predecessor/s A Requirement Analysis 5 B Systems Design 15 A C Programming 25 B D telecoms 15 B E Hardware Installation 30 B F Integration 10 C, D G System Testing 10 E, F H Training/Support 5 G I Handover and Go-Live 5 H (i) Determine the critical path of the project (ii) Calculate the planned duration of the project in weeks (iii) Identify any non-critical tasks and the float (free slack) on each.To design a new app, a project manager has gathered the time information foreach activity as shown in the following table:Activity Predecessors Optimistic Most Likely PessimisticA / 1 4 7B / 2 6 10C B 3 3 9D A 6 13 14E A, C 4 6 14F B 6 8 16G D,E,F 2 5 8Identify the critical path. How much slack time is associated with each noncritical activity?Suppose you wanted to have 99% confidence in the project finishing on time. How manyweeks in total would your project team need to achieve this 99% likelihood?(c) What is the critical path for this project and how long is it?
- You are provided with the following information for a project, with activity durations given in weeks: Activity Immediate Optimistic Most Likely Pessimistic Predecessor Time (a) Time (m) Time (b) A ____ 2 3 4 B ____ 2 4 6 C A 1 2 3 D B 3 6 9 E C, D 7 8 9 F D 4 7 10 G E 3 4 5 H E, F…An entrepreneur is starting a new business. The activi-ties and times required are given below:a. Find the critical path and the project completion time.b. What are the ES, LS, EF, and LF for each activity?c. How much slack is there in activity D?Use the following information to answer the questions that follow. Some of your project’s activities are listed below, with time estimates given in days. Activities A and N have been identified as critical. Activity Optimistic Most Likely Pessimistic A 4 6 12 B 2 3 3 D 1 2 3 F 1 2 4 N 2 5 8 What is the standard deviation of the project completion time? 1.67 1.78 2.78 3.17
- a. Develop an AON network for this problem. b. What is the critical path? c. What is the total project completion time? d. What is the slack time for each individual activity? Discussion Question e. Why do you think project management is needed in this scenario?Using the following table, calculate the project duration Task Predecessor Duration (weeks) A - 1 B A 2 C - 2 D - 3 E B 3 F C, D 4 G E,F 6 H F 1Jabez Contractors installs network routers. Using the CPM method and in reference to the table provided comment on the expected completion time of the projectand identify the activities that neeD to be prioritised by the project manager. (Nodiagram is required) TABLE- PROJECT INSTALLATION Activity Predecessor optimistic Most Likely Pessismistic Estimated time A - 4 7 10 7 B - 2 9 10 8 C A,B 2 5 8 5 D C 16 19 28 20 E C 6 9 24 11 F E 1 7 13 7 G C 4 10 28 12 H D,F 2 5 14 6 I G 5 8 17 9 J H,I 2 5 8 5
- Use the following information to answer the questions that follow. Some of your project’s activities are listed below, with time estimates given in days. Activities A and N have been identified as critical. Activity Optimistic Most Likely Pessimistic A 4 6 12 B 2 3 3 D 1 2 3 F 1 2 4 N 2 5 8 Using your results from the previous two problems, what is the likelihood of finishing the project in 15 days or less? 2% 12% 88% 98%Draw CPM network of activities tabulated below: 1. Calculate the expected duration and the standard deviation for the critical path. 2. Compute the followings: (a) The probability that the project will finish by the end of day 50 (b) The probability that the project will finish at day 52 (c) The probability that the project will finish before the start of day 49. (d) The completion date with at least a 95% confidence level1. Determine and provide the following information for Activity 1: Latest Finish Duration Latest Start Start date.2. Explain what does negative 8 (‐8) say about the project