Introduction to Quantitative Methods (MGMT 2012) Tutorial Sheet - Project Management Question The following activities are required by the promoter of a gospel concert. They can be viewed as a mini-project and are summarised in the following table: Table 1: Activity Times and Predecessors Immediate Optimistic Time Most Likely Time Pessimistic Time Activity Predecessors 6 2 B D E F A B B B,C B F F.H 2 3 1 2 2 3 1 2 1 2 3 4 2 3 15 3 7 10 3 6 S 6 4 4 2 4 10 H 1 DE You must use two decimal places where activity times and variances are fractional. Failure to do so is a violation of instructions (and can result in the wrong answer). Required (a) Draw the activity network for this problem (either AON or AOA) (b) Determine the expected Time and Variance for each activity. (c) Show the activity schedule (ES, EF, LS, LF) as well as slack. You may work in the network but please show the results in a table. (d) Determine and state the critical path for this project. This must be based on your work in c) and not by inspection. () (e) What are the expected time and the variance of the project? 19 What is the probability the project will be finished within 23 days? (8) What is the probability the project will take between 18 and 24 days? (h) What time should be set such that there is a 90% chance of completion