Concept explainers
a
Interpretation:
The critical path and the completion time of the project.
Concept Introduction: The critical path is the arrangement of project activities which gives an estimated time duration under which the project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
b
Interpretation:
The slack of Activity F.
Concept Introduction: Early start time: The rule for the early start time of a task is that it is equal to the largest early finish time of the task’s immediate predecessors.
Early finish time: The early finish time of a task is the addition of both task time and early start time of the task.
c
Interpretation:
The late start time to start activity A without delaying the project:
Concept Introduction: The critical path is the arrangement of project activities which gives an estimated time duration under which the project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
d
Interpretation:
Reaction for someone on activity bonus.
Concept Introduction: The critical path is the arrangement of project activities which gives an estimated time duration under which the project will be completed. The project activities may include float activities which can be delayed focusing on the shortest time duration.
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Practical Operations Management
- A project consists of Six activities: A,B,C,D, E, F. A and B have no preceding activities, but activity C requires that activity B must be completed before C can begin. Activity D cannot start until both activities A and B are complete. Activity F can start any time. Activity E requires activities A and C to be completed before it can start. If the activity times are A: 10 days; B: 4 days; C: 8 days; D: 3 days, E = 2 days, and F: 1 day, * Find out the minimum time possible to complete this project. * Are there any critical path activities? Which one are those?arrow_forwardActivity A takes 36 hours and can begin as soon as the project begins. Activity B takes 21 hours and should take place after the project has begun. Activity C must happen after Activity A and lasts 31 hours. Activity D must take place after activities B and C takes 26 hours. Activity E must take place after Activity C and lasts 6 hours. Activity F takes place after Activity E and lasts 18 hours. Activities F and D are the project's final activities. Draw the AON for the network diagram and specify the critical path and its duration.arrow_forwardConsider the following table of activities A through E in which A is the start node and E is the stop node. Assume all activities require the same resource. On a piece of scratch paper, draw the early-start Gantt Chart associated with this table and determine the following. Assume the project is resource-constrained but not time-constrained. Assume only one resource is available and that resource can only do one activity at a time. Activities B, C and D all have the same early start date (time). Since there is only one resource, only one of the activities B, C, D can be started on the early start date. Which should be started first?arrow_forward
- . True/False Statements (Tick the correct option) Selection of the critical path in network activity diagram for any project, is always focused onresult of the minimum time duration of the critical activities [ True / False ] Suppose, we have total 03 activities in the project “X”; namely L, M and N respectively. An activity “M” is the immediate successor of the activity “L”, while the activity “M” is the immediate predecessor for the activity “N”. According to this scenario, an activity “M” will be the last activity of the project “X” in the network activity diagram [True / False ] The dummy activity consumes both time and resources [True / False ] Towards the optimal solution through stepping stone method, when degeneracy problem is occurred, the next step is to focus on searching lowest value on the independent position in a non-allocated cells [True / False ] Hungarian algorithm, first convert any given assignment matrix into row reduction matrix [True / Falsearrow_forwardTo help with preparations, a couple has devised a project network to describe the activities that must be completed by their wedding date. A project network with 10 activities and 13 directed arcs is shown. Activity Start is connected to activity A and to activity B. Activity A is connected to activity C and to activity D. Activity B is connected to activity E. Activity C is connected to activity H. Activity D is connected to activity F and to activity G. Activity E is connected to activity F and to activity G. Activity F is connected to activity H. Activity G is connected to activity Finish. Activity H is connected to activity Finish. Activity Finish has no arcs directed to other activities. The following table lists the activity time estimates (in weeks) for each activity. Activity Optimistic Most Probable Pessimistic A 4 5 6 B 2.5 3 3.5 C 5 6 7 D 5 5.5 9 E 5 7 9 F 2 3 4 G 9 11 13 H 7 8 15 Based only on the critical path, what is the estimated probability…arrow_forwardThe activities necessary for the completion of a project are listed in the table below (Time in weeks). You are asked to complete the project 1 week ahead of time. You should crash Activity ________. This will incur an additional cost of $_________ .arrow_forward
- There are six processes in the project time management knowledge area. How do these processes interact in the creation of the project schedule?arrow_forwardThe Cove at UP is looking to open a new location. Guillermo Santiago has been developing a project plan and has identified the following tasks, precedence relations, and normal task durations. \ tasks predecessors task duration start 0 A start 7 B A 20 C A 34 D B 39 E C,D 6 F D 15 G E,F 33 end G 0 Guillermo has studied project management at the University of Portland and knows that the starting and ending time of any task may be determined from the information in the table using the critical path method. Assume the following notation when answering the questions below: \ Metric Description ES Early start time for task EF Early finsh time for task LS Late start time for task LF Late finsh time for task TS Total slack for task FS Free slack for task IS Independent slack for task SS safety slack for task Please provide the CPM result for each of the following metrics: ES_{end} = LS_{D} = TS_{D} = EF_{G} = LF_{G} =arrow_forwardThe information below shows the order in which the activities of a project occur alongwith the time taken for each activity:Q must follow PR must follow PS must follow PT must follow SU must follow S and TV must follow S and TW must follow P, Q, R, S, T , U, VP takes 8 minutesQ takes 6 minutesR takes 6 minutesS takes 3 minutesT takes 3 minutesU takes 7 minutesV takes 7 minutesW takes 18 minutesConstruct an activity network to represent the project information given. Include the earlystart, early finish, late start and late finish times for EACH activity. Hence, determine thecritical path for the project.arrow_forward
- Consider a project with four activities. Activities A1, A2, and A3 all can start immediately.However, A4 requires the completion of A1, A2, and A3. A1 can take any time between4 and 8 days. A2 can take any time between 2 and 6 days. A3 always takes 5 days. Inaddition to A4, which activity (or activities) has the potential to be on the critical path?a. A1b. A1 and A2c. A2 and A3d. A1, A2, and A3e. None of these options is correctarrow_forwardA Gantt chart is a project schedule that superimposes project activities on a time line. Part 2 True Falsearrow_forwardWhich of the following questions regarding a project CANNOT be answered even if the critical path of a project is known? * How long can each of the activities be delayed without delaying the project?When is the earliest project completion time?Which activities should not be delayed?None of the abovearrow_forward
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