Operation Management Case

1. The R&D department is planning to bid on a large examine for the development of a new parley system for commercial planes.The accompanying table shows the activities, convictions, and sequences required Activity Immediate Predecessor Time (weeks) A - 3 B A 2 C A 4 D A 4 E B 6 F C, D 6 G D, F 2 H D 3 I E, G, H 3 a. Construct the appropriate intercommunicate diagram. (10 points) pic pic b. What is the project completion time? A-C-F-G-I OR A-D-F-G-I =3+4+6+2+3=18 WEEKS . Suppose you want to shorten the completion time as much as possible, and you have the following options each at an additional cost of $1500 1) center activity C by one week 2) Reduce activity D by one week 3) Reduce activity G by one week If you will save $2000 for each week that the earliest completion time is reduced, which option, if any, would you choose? (10 points) C, D, G argon good options to choose, and the cost are less than $2000. 2. The following table represents a plan for a project Time Estimates (days) Job No. Predecessor Job(s) pollyannaish Most likely Pessimistic 1 - 2 3 4 2 1 1 2 3 3 1 4 5 12 4 1 3 4 11 5 2 1 3 5 6 3 1 2 3 7 4 1 8 9 8 5, 6 2 4 6 9 8 2 4 12 10 7 3 4 5 11 9, 10 5 7 8 a. Construct the appropriate network diagram. (10 points) picpic b. Which jobs can be delayed without delaying the entire project? (10 points) The critical path is 1-4-7-10-11, thus, the job could be delayed are 2, 3, 5, 6, 8, 9 c. What is the expected completion time for the project? (20 points) Job No. a m b ET AV 1 2 3 4 3 0. 33 2 1 2 3 2 0. 33 3 4 5 12 6 1. 33 4 3 4 11 5 1. 33 5 1 3 5 3 0. 67 6 1 2 3 2 0. 33 7 1 8 9 7 1. 33 8 2 4 6 4 0. 67 9 2 4 12 5 1. 67 10 3 4 5 4 0. 33 11 5 7 8 6. 83 0. 50 d. Is the probability that the project will take less than 27 days to complete larger than 50% or smaller than 50%? (10 points)