Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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- Given the information below, what are the estimated expected (mean) times (in weeks) for activities A-H? What are the estimated standard deviations (in weeks) in the times for activities A-H?arrow_forward21. The following table provides the information necessary to construct a project network and project crash data: Activity (i, j) Activity Predecessor Activity Time (weeks) Normal Crash Activity Cost Normal Crash a (1,2) --- 16 8 $2000 $4400 b (1,3) --- 14 9 1000 1800 c (2,4) a 8 6 500 700 d (2,5) a 5 4 600 1300 e (3,5) b 4 2 1500 3000 f (3,6) b 6 4 800 1600 g (4,6) c 10 7 3000 4500 h (5,6) d, e 15 10 5000 8000 a. Construct the project network b. Manually crash the network to 28 weeks Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.arrow_forwardNeed help solving these two A and B.arrow_forward
- Need help solving C and D. D) Freeze Inc.’s CEO established as a goal for top management to complete the project on or before 22 weeks. What is the probability that this project will be completed on or before 22 weeks?arrow_forwardAlpha Beta Gamma Delta Quality 1 3 3 5 Cost 7 7 5 3 Speed 5 5 3 5 Visibility 3 1 Reliability 5 5 57 1 7 7 Construct a project screening matrix to identify among these four projects the most likely candidate to be imple- mented.arrow_forwardThe manager of the Oak Hills Swimming Club is planning the club’s swimming team program. The first team practice is scheduled for May 1. The activities, their immediate predecessors, and the activity time estimates (in weeks) are as follows: Activity Optimistic Most Probable Pessimistic Immediate Predecessors A 1 2 3 - B 4 6 8 A C 2 4 6 A D 1 2 3 B, C E 2 3 4 B F 1 2 3 A G 1 2 3 D H 1 2 3 G I 1 1 1 E, H, F Draw a project network for this problem. Fill in all the blanks in the following table. Note: For variance (σ2) in activity time, keep two decimal places. Activity Expected Time t (weeks) Variance σ2 ES EF LS LF Slack Critical Path? A B C D…arrow_forward
- The manager of the Oak Hills Swimming Club is planning the club’s swimming team program. The first team practice is scheduled for May 1. The activities, their immediate predecessors, and the activity time estimates (in weeks) are as follows: Activity Optimistic Most Probable Pessimistic Immediate Predecessors A 1 2 3 - B 4 6 8 A C 2 4 6 A D 1 2 3 B, C E 2 3 4 B F 1 2 3 A G 1 2 3 D H 1 2 3 G I 1 1 1 E, H, F a. Draw a project network for this problem. b. Fill in all the blanks in the following table. c. What is the expected time and variance to complete the project? Note: For variance (σ2) in activity time, keep two decimal places. Activity Expected Time t (weeks) Variance σ2 ES EF LS LF Slack Critical Path? A B C…arrow_forward3.8 Roger Ginde is developing a program in supply chain management certification for managers. Ginde has listed a num- ber of activities that must be completed before a training program of this nature could be conducted. The activities, immediate pre- decessors, and times appear in the accompanying table: a) DrawtheappropriateAONPERTdiagramforJ.C.Howard’s management team. b) Find the critical path. c) What is the project completion time? • • 3.11 The following is a table of activities associated with a project at Rafay Ishfaq’s software firm in Chicago, their dura- tions, and what activities each must precede: ACTIVITY DURATION (WEEKS) PRECEDES A (start) 1 B, C B 1 E C 4 F E 2 F F (end) 2 — ACTIVITY IMMEDIATE PREDECESSOR(S) TIME (DAYS) A — 2 B — 5 C — 1 D B…arrow_forwardThe project manager of Good Public Relations gathered the data shown in Table 7.15 for a new advertising campaign.a. How long is the project likely to take?b. What is the probability that the project will take more than 38 weeks?c. Consider the path A–E–G–H–J. What is the probability that this path will exceed 38 weeks?arrow_forward
- Consider the following Table summarising the details of a project involving nine activities. Construct the project network. Q9a Activity ABCDEFGH с I Predecessor(s) ABBCDH с D, E, F, G F G a 2 1 1 1 1 1 1 6 1 Duration (weeks) m NJANNNUNN 2 2 5 2 b ∞0 399mmt∞o a 8 8arrow_forwardGiven the information below, estimate the probability that the noncritical path B-C-G will take more than 15 weeks. Hint: Subtract from 1.0 the probability that B-C-G will take 15 weeks or less. Refer to the standard normal table. Question Viewer Activity Expected Time (weeks) Variance A 4.0 1.00 B 5.5 0.96 C 4.0 0.15 D 11.5 1.52 E 6.5 2.40 F 8.5 2.55 G 5.0 0.69 The probability that this path will take more than 15 weeks to complete is ☐. (Enter your response rounded to four decimal places.)arrow_forward2. The following table lists the activities of a network along with their time estimates: Activity Predecessor Duration (Days) Optimistic (a) Most Likely (m) Pessimistic (b) A None 2 5 8 B None 4 7 16 C A 3 6 9 D A 2 5 8 E C 5 8 11 F D 3 6 15 G B 2 5 14 H E, F 2 5 8 I G 6 9 12 J H, I 0 0 0 (a) Draw the project network. Use activity on node (A-O-N) method. (b) Identify the Critical Path. Calculate the length and variance of the Critical Path. (c) Identify the non-critical activities. Work out the Total Slack (TS) and Free Slack (FS) for all the non-critical activities. (d) State whether the network is sensitive or insensitive! (e) What is the approximate probability that jobs on the critical path will be completed by the due date of (i)24 days, (ii) 29 days?arrow_forward
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