This is a operations research question. Please take your time when answering the questions no rush and explain the answer so I can better understand The notes are stored on Google Drive and Dropbox Link 1 https://drive.google.com/file/d/1DD8nD2A_B_9QZ2sZvqjdNBsYIp_eXnHf/view?usp=drivesdkLink 2 https://www.dropbox.com/s/kixskoo8877djjr/Question%201%202018%20.pdf?dl=0

Question 1 The activities required to service a car at a dealer can be viewed as a mini-project, summarised in the following table: Table 1: Activity Times and Predecessors Activity Description Predecessors Optimistic Most likely Pessimistic time (a) time (m) time (b) A Drain Oil 2 3.5 WU B Replace Filter A 2 C Refill Oil B, E 2 2.5 4 D Check Tyres 2 3 E Wash Windows D 2 Fill Fluids E 2 4 G Final Test C, F 0.5 1.5 NB: Time periods are in weeks A. Draw the activity network for this problem (either AON or AOA). B. Determine expected time and variance for each activity. C. Show the activity schedule (ES, EF, LS, LF) as well as the slack. You may work in the network or show the results in a table. D. Determine and state the critical path for this project. This must be based on your work at C., and not by inspection. E. What is the expected time, variance and standard deviation of this project? F. What is the probability that the project will be finished within 30 days