Question

Problem 5-10 The following represents a project that should be scheduled using CPM: IMMEDIATE TIMES (DAYS) ACTIVITY PREDECESSORS a m b А 7 B 2 3 7 с A 3 5 7 D А 5 6 10 E B 1 2 6 F CD 1 3 6 DE 1 3 14 H F G 5 14 b. What is the critical path? A-D-G-H B-E-G-H A-D-F-H A-C-F-H c. What is the expected project completion time? (Round your answer to 3 decimal places.) Project completion time days d. What is the probability of completing this project within 22 days? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Probability

Answer 1

Formula ta+ 4 tm t tp inte 6 2 i > to-ta o 2 0

The PERT diagrann А TT 79 G B Activity te. A 14 1. B 0:83 c D 6.5 0.83 E 2.5 0183 . 3:17. 0.83 G 4.5 2-17 Н 2

The paths are A- C - F - H ₂ 4 + 5 + 3.17 + 6 = 13-17 liy A-D-F-H = 4 + 61.5 + 3.17 + 6 = 19.67 rry A - D - G = 4 + 6.5 t 415 + 6 121 21 Evy B-E-G - HP H = 3.5 + 25 + 415 tib= 16.5 by the critical path A - D - G H e the expected project completion = A - D - G H time = 4 + 6.5 +4.5 to 21

ie the variance = A D - G H 1 t 0.83 + 2.17 + 2 = Probabili ability 22 - 21 0166, 6 0.5 636 1. Probability = 10:56

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