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this is a operations research question. please take your time to answer the question and show working out so I can better understand. Question 2

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this is a operations research question. please take your time to answer the question and show working out so I can better understand.

image text in transcribed
Question 2 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 Minutes Required Activity Description Predecessor Optimistic Most Likely Pessimistic Activity a In Drain Oil 3.5 Replace Filter A 2 Refill Oil B, E 2.5 AVAAWUE NNNNAN Check Tyres Wash Windows D W ww Fill Fluids E Final Test C, F 0.5 1.5 The variability in times required to perform each activity is due to the different types, sizes and conditions of the cars to be serviced. Round off times to two decimal places where fractional. 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, and LF). D. Based on your workings in (C.) above, determine the critical path for this project. E. What are the expected time and the variance of the project? F. Calculate the probability that the project will be finished within 10 minutes. G. A project manager will use the "Work-Break-Down Structure" to identify the activities needed to complete the project. Explain what is meant by the "Work Break-Down Structure"

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