Concept explainers
A.
Interpretation: A network diagram representing the activities of the project is to be constructed.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the work flow and is used to compute the total duration of the project.
B.
Interpretation: The critical path is to be identified by computing the earliest and the latest start and finish times.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the work flow and is used to compute the total duration of the project.
C.
Interpretation: The optimal solution for the project is to be determined by expediting the project one day at a time. The duration, cost and savings of the optimal solution are to be computed.
Concept Introduction: Network diagram is a graphical representation of tasks and events happening in a project. It depicts the work flow and is used to compute the total duration of the project.
D.
Interpretation: The optimal solution for the problem is to be determined using linear programming.
Concept Introduction: Linear programming is a mathematical technique used to achieve the best outcome, given a list of parameters usually restrictions on the resources.
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Production and Operations Analysis, Seventh Edition
- The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week: Activity Duration (weeks) Precedes Crash Cost/Week A (start) B C E F (end) 3 2 6 2 3 Activity B, C E F F A B Suppose that Rafay is only given 9 weeks (instead of 12) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. $380 $130 $240 Each Activity Should be Reduced BY (weeks) 0 week(s) week(s) $150 $400arrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s)A 7 - E 4 BB 8 - F 7 BC 4 A G 11 C, ED 1 A H 6 D , F Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A 0 7 B 0 8 C 7 11 D 7 88 E 8 12 Part 7 F ? ? G ? ? H ? ?arrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s)A 6 - E 5 BB 8 - F 6 BC 2 A G 9 C, ED 3 A H 7 D , F Dave's earilest start (ES) and earliest finish (EF) are: Activity ES EF A 0 6 B 0 ? C D E F G Harrow_forward
- The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week Crash Cost/Week Activity Duration (weeks) Precedes A (start) B, C $380 $130 B E C F $240 E F $160 F (end) $450 Suppose that Rafay is only given 7 weeks (instead of 9) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Should be Reduced BY (weeks) 0 week(s) 1 week(s) 2 week(s) 0 week(s) 0 week(s) What is the total crashing cost? $ Enter your response as a whole number.) 2 2 4 1 3 Activity A B C ELL Farrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Dave's earliest start (ES) and earliest finish (EF) are: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A B C D 7 2 A Activity A F G H ES | FF 5 6 9 7 B B C. E D, Farrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Dave's earliest start (ES) and earliest finish (EF) are: Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) A B C D 7 6 3 2 A A Activity A ES EFGH EF 7 3 6 11 6 B B C, E D, Farrow_forward
- The following is a table of activities associated with a project at Rafay Ishfaq's software firm in Chicago, their durations, what activities each must precede and the crash cost to reduce duration per week: Activity Duration (weeks) Precedes Crash Cost/Week A (start) B, C B $370 $120 C $200 E $150 F (end) $420 Suppose that Rafay is only given 9 weeks (instead of 11) to complete the project. By how many weeks should each activity be crashed in order to meet the deadline? Assume that you can crash an activity down to 0 weeks duration. Each Activity Should be Reduced BY (weeks) week(s) 3 2 5 2 3 Activity A E F Farrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Time Immediate Time Immediate Activity (weeks) Predecessor(s) Activity (weeks) Predecessor(s) A 7 E B 7 B C 3 A G 9 C, E D 1 A H D,F Dave's earliest start (ES) and earliest finish (EF) are: Activity ES EF A 7arrow_forwardYou are the project manager of the software installation project in the table below. You would like to find the minımum-cost schedule for your project. There is a $500-per-week penalty for each week the project is delayed beyond week 25. In addition, your project team determined that indirect project costs are $2,000 per week. Normal Cost Crash Time Crash Cost ($) 3,000 3,000 10,000 Normal Time (weeks) Immediate Activity Predecessor(s) (weeks) (S) A 1 3,000 6,000 C A 9. 8. 12,000 8 2. А, В 10 3,000 9.000 4,000 5,000 2,000 3.000 5,000 9,000 7,000 12 6. E, F 2 1 G 5.000 C, F 8 2,000 8.000 a. What would be your target completion week? The target completion week is week (Enter your response as an integer.)arrow_forward
- Dave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: Dave's earliest start (ES) and earliest finish (EF) are: Dave's latest start (LS) and latest finish (LF) are: Activity A B C D Time (weeks) 7 6 2 2 Immediate Predecessor(s) A A Activity A C D F G H Activity H Time Activity (weeks) E 4 F 6 G 10 H 6 ES 0 0 7 7 6 6 10 12 LS 14 EF 7 9 1228 10 20 LF Immediate Predecessor(s) B B C, E D, F 27arrow_forwardThe estimated times and immediate predecessors for the activities in a project a t George Kyparis's retinal scanning company are given in the following table. Assume that the activitytimes are independent. a) Calculate the expected time and variance for each activity.b) What is the expected completion time of the critical path?What is the expected completion time of the other path in the network?c) What is the variance of the critical path? Wha t is the variance of the other path in the network?d) If the time to complete path A-C is normally distributed, what is the probability that this path will be fini shed in 22 weeks or less?e) If the time to complete path B- D is normally distributed, what is the probability that this path will be finished in 22 weeks or less?f) Explain why the probability that the critical path will be finished in 22 weeks or…arrow_forwardDave Fletcher was able to determine the activity times for constructing his laser scanning machine. Fletcher would like to determine ES, EF, LS, LF, and slack for each activity. The total project completion time and the critical path should also be determined. Here are the activity times: O Activity Time (weeks) Immediate Predecessor(s) Activity Time (weeks) Immediate Predecessor(s) E F A B C D Dave's earliest start (ES) and earliest finish (EF) are: 5 8 00 2 2 Activity HOT G ES Н EF 5 5 5 10 7 B B C, E D.Farrow_forward
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