# OM 302 HW 3.docx - Homework 3 1a Develop an AON network for...

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Homework 3 1a. Develop an AON network for the problem: 1b. What is the critical path? The critical path is B—D—E—G 1c. What is the total projected completed time? The total projected completed time is 5 + 10 + 3 + 8 = 26 days 1d. What is the slack time for each individual activity? Activity Immediate Predecesso r Time (Days) Earliest Start Earliest Finish Latest Start Latest Finish Slack Time A None 2 0 2 13 15 13 B None 5 0 5 0 5 0 C None 1 0 1 11 12 11 D B 10 5 15 5 15 0 E B, D 3 15 18 15 18 0 F C 6 1 7 12 18 11 G E, F 8 18 26 18 26 0 2a. Draw the AON Network

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2b. What is the expected activity time for C? The expected activity time for C is 12 weeks. 2c. What is the variance for activity C? Mean time = (a + 4m + b)/6 or (8 + 4(12) + 16)/6 or 72/6 = 12 Variance = (b – a)/6^2 = (16 – 8)/6^2 = the variance for activity C is 1.78 weeks 2d. What is the estimation time for the critical path? Critical Path = A + C + F + H + J + K = 7.667 + 12 + 9.667 + 2 + 6.667 + 2.167 = 40.168 2e. What is the activity variance along the critical path? The variance along the critical path is 1 + 1.778 + 5.444 + 0 + 1.778 + 0.028 = 10.028 . 2f. What is the probability of completion before week 36?

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