Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- (Use the information below to solve Q11 - Q20) Given the following information regarding a project: Predecess ors None None a a b b Activity a b C d e CD f OC g h Duration 3 1 3 4 4 5 23 c, e f Which of the following is NOT a path in the network? O a-d O a-c-g b-c-g O b-e-g b-f-harrow_forwardQ4arrow_forwardDevelop a project network. Determine the expected project completion time. What is the probability that the project completion time will be completed? With in 2 weeks earlier than the expected project completion time? With in 1.5 week more than the expected project completion time ?arrow_forward
- Hoff & Catherine Building company has plans to build a City Centre for the Government. The stages of the project are depicted in the table below: Activity Immediate Predecessor Duration (weeks) Remarks A - 2 B A 7 C B 5 D C 6 E C 4 F E 10 G D 7 H E, G 12 I C 7 J F, I 9 K J 4 L J 5 M H 5 N K,L 10 Calculate the earliest start, earliest finish, latest start, latest finish and slack time for each activity. Calculate the critical path How long does it take to complete the project assuming no delays?arrow_forward12:23 Ill 5G Problem 1 The following table gives expected times and variances for a probabilistic duration type of project (we are not given and we don't need the optimistic, most likely, and pessimistic time estimates). Activity Expected Time Variance A 4 0.44 B 3 0.69 C 7 2.25 D 11 2.25 E 4 0.11 F 9 1.36 G 6 0.44 H 6 0.69 I 7 1.36 J 13 1.00 K 3 0.44arrow_forwardThe following table shows estimates of activity times (in weeks) for a project: Optimistic Time 5 Activity A B с D EFG 1 4 5 6 2.5 7.5 Most Probable Time 5.5 3 5 5.5 7 b. What is the probability that the project will be completed within 31 weeks? 3 8.5 Suppose that the critical path is A-C-D-E-G. Use Appendix A to answer the questions. Do not round intermediate calculations. Round your answers to three decimal places. a. What is the probability that the project will be completed within 34 weeks? d. What is the probability that the project will be completed in 33 weeks? C. What is the probability that the project will be completed in more than 32 weeks? Pessimistic Time 9 5 6 9 8 3.5 12.5arrow_forward
- Activity Predecessor Duration A - 6 B A 8 C A 6 D C 4 E B 6 F b.d 7 G C 5 H F,G 6 I E, H 4 Construct the network diagram Find each activity’s ES, EF, LS and LF. Calculate the slack for each activity. How long will it take to complete the projectarrow_forward5. Consider the following project network, consisting of 10 activities (A-J) Activity Predecessor(s) A B с D DE F G H I J A B B, C D C, D E F G, H (a) Construct an activity-on-arc model for this project network. (note the next page is blank for extra working/drawing space if needed)arrow_forward(a) Draw the project network and determine the critical path(s) using AOA method and determine the critical path. (b)Draw project network from (a) using AON method, filling the ES, EF, LS, LF and slack for each node.arrow_forward
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