Concept explainers
(a)
To determine: The probability of the project will take more than 10 weeks to complete where time is given in weeks and the construction of a network diagram for the information given with mean and standard deviation.
Introduction: The time required to complete any activity is estimated with optimistic (optimum time), pessimistic (time required in worst condition), and most likely time (probable time).
(b)
To determine: The probability if the project will take 16.5 or more weeks to complete with the given information of mean and standard deviation.
Introduction: The time required to complete any activity is estimated with optimistic (optimum time), pessimistic (time required in worst condition), and most likely time (probable time).
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Chapter 17 Solutions
OPERATIONS MANAGEMENT LOOSELEAF W/ CONN
- The table below contains information about an environmental clean-up project in the township of Hiles. Shorten the project threethree weeks by finding the minimum-cost schedule. Assume that project indirect costs and penalty costs are negligible. Identify activities to crash while minimizing the additional crash costs. Activity Normal Time (weekweeks) Crash Time (weekweeks) Cost to Crash ($ per weekweek) Immediate Predecessor(s) A 55 44 300300 None B 77 44 5050 None C 77 66 300300 A D 77 66 250250 A E 11 11 long dash— B F 33 33 long dash— C, D G 55 44 200200 D, E H 44 22 200200 F I 22 22 long dash— G Part 2 Fill in the table below with the activity times after crashing to show the resulting schedule. (Enter your responses as…arrow_forwardCrashed Completion time (week) Crashed Cost per Preceding Activity Normal Completion Time (week) Activity week A 7 5 $600 $700 $400 $800 12 10 A 8 2 D 9 7 E C, D 5 4 $300 F E 9 8 $500 G D, F 10 10 Find the minimum possible completion time of the project by considering the crashed completion times and the minimal total cost of that crashing the project. Highlight the critical and non-critical activities of the finally completed project by taking into account the crashed times of activities.arrow_forwardGiven the following AON network and activity time estimates, determine the expected project completion time and variance, as well as the probability that the project will be completed in 28 days or less: Start Finish Time Estimates (weeks) Activity m 5 17 2 7 10 13 3 7 4 3 5 5 4 6 6. 3 3 3 4arrow_forward
- The Farmer's American Bank of Leesburg is planning to install a new computerized accounts system. Bank management has determined the activities required to complete the project, the precedence relationships of the activities, and activity time estimates, as shown in the following table. Use POM- QM to analyze this project. According to the result of POM-QM, the expected project completion time is (type number only, no text) Activity a b C d C f 8 k Activity Description Position recruiting System development System training Equipment training Manual system test Preliminary system changeover Computer-personnel interface Equipment modification Equipment testing System debugging and installation Equipment changeover Activity Predecessor a a b, c b, c d, e d, e h f.g a 5 3 4 5 I 1 3 Time Estimates (weeks) 1 1 2 5 m 8 12 7 8 I 4 6 2.5 1. 2 8 b 17 15 10 23 1 13 9 7 1 2 11arrow_forwardConstruct the project network for this project and determine the following: d) Expected project duration and variance e) The probability that the mill will be fined $300,000arrow_forwardActivities, preceding activities, normal and crashed completion times of each of the activities and crashed costs of activities per week of a project are given in the following table. Activity Preceding Activity Normal Crashed Completion time (week) Crashed Cost Completion Time (week) 7 per week A 7 B $500 C 4 3 $700 $600 A A, C В, D D, E D 7 E F 10 9. $800 9 8 $400 i. Draw the network diagram linking all the activities in a way that it shows if there exist any preceding activity/activities before starting each of the mentioned activities in the above table. ii. Find the earliest start time, the earliest finish time, the latest start time and the latest finish time of each of the activities in the drawn diagram of the project and hence the completion time of the project and the critical path.arrow_forward
- QUESTION 7 The Stone River Textile Mill was inspected by OSHA and found to be in violation of a number of safety regulations. The OSHA inspectors ordered the mill to alter some existing machinery to make it safer (add safety guards, etc.); purchase some new machinery to replace older, dangerous machinery; and relocate some machinery to make safer passages and unobstructed entrances and exits. OSHA gave the mill only 35 weeks to make the changes; if the changes were not made by then, the mill would be fined $300,000. The mill determined the activities in a CPM/PERT network that would have to be completed and then estimated the indicated activity times, as shown in the following Table 6: Table 6 Activity Description A B с D E F G H I J K Activity Description Order new machinery Plan new physical layout Determine safety changes in existing machinery Receive equipment Hire new employees Make plant alterations Make changes in existing machinery Train new employees Install new machinery…arrow_forwardActivity E has an optimistic time of 9 days, a most likely time of 12 days, and a pessimistic time of 15 days. Estimate its expected time and standard deviation.arrow_forwardCharlie is planning to open a Chinese food restaurant “Dragon Express” in Montana. The following table lists all of the activities involved in the opening of the restaurant. Charlie is able to provide his three best estimates for each activity and he wants to know when his restaurant can be open. Use POM-QM to analyze the project and answer the following questions. Activity # Activity name Predecessors Time estimates in weeks (a,m,b) 1 Select location and obtain financing - 2,4,8 2 Rent negotiation and sign paper work 1 1,2,2 3 Cleaning and renovation of the resturant 2 4,6,8 4 Design resutrant menu - 1,1,1 5 Order and recieve equipment and other necessities 2,4 4,8,12 6 Install equipment 3,5 1,1,1 7 Hire employees 6 1,2,2 8 Final examination 7 1,2,3 Based on the result of POM-QM, the expected completion time of the project is (type number only, no text, no decimals) Based on the result of POM-QM, the standard deviation of the project completion time is…arrow_forward
- Davison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractors will require a major effort to meet the 42-week completion date requested by the owner. The Davison project manager prepared the following project network. H Start A Finish E Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows. Activity Optimistic Most Probable Pessimistic A 4. 8 12 В 6. 8 12 18 D 3 5 7 18 8 17 G 10 15 20 H 5 13 (a) Find the critical path. (Enter your answers as a comma-separated list.) (b) What is the expected project completion time (in weeks)? weeks (c) Based only on the critical path, what is the estimated probability the project can be completed in 42 weeks as requested by the owner? (You may need to use the appropriate technology to answer this question. Round your answer to four decimal places.) (d) Based only on the critical path, what is the estimated…arrow_forwardRoger Ginde is developing a program in supply chain management certification for managers. Ginde has listed a number of activities that must be completed before a training program of this nature could be conducted. The activities, immediate predecessors, and times appear in the accompanying table: Activity Immediate Predecessor(s) A (BCDEFG This exercise contains only parts b, c, and d. b) The critical activities for the leadership training program development project are c) The project length for the leadership training program development project = d) Slack time for each of the activities is: days. B A, D с E, F Activity A B CDEFG Slack Time Time (days) 3 GANGG 5 2 10 4 8arrow_forwardDavison Construction Company is building a luxury lakefront home in the Finger Lakes region of New York. Coordination of the architect and subcontractors will require a major effort to meet the 46-week completion date requested by the owner. The Davison project manager prepared the following project network. B F H Start A G Finish D E Estimates of the optimistic, most probable, and pessimistic times (in weeks) for the activities are as follows. Activity Optimistic Most Probable Pessimistic A 4 8 12 B 6 6 12 18 D 7 E 6 18 F 5 17 G 10 15 20 H 5 6 13 (a) Find the critical path. (Enter your answers as a comma-separated list.) (b) What is the expected project completion time (in weeks)? weeks (c) Based only on the critical path, what is the estimated probability the project can be completed in 46 weeks as requested by the owner? (You may need to use the appropriate technology to answer this question. Round your answer to four decimal places.) (d) Based only on the critical path, what is the…arrow_forward
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