Practical Operations Management
2nd Edition
ISBN: 9781939297136
Author: Simpson
Publisher: HERCHER PUBLISHING,INCORPORATED
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Chapter 7, Problem 24P
Summary Introduction
Interpretation:
The probability that the given project will require more than 14 days to complete.
Concept Introduction:
Probability can be defined as how likely something is going to happen. Probabilities are used when there is no surety of the outcome of the event, so by the probabilities how likely the certain outcome will come is predicted.
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A completion time (X) is expected to be 52 weeks, with a variance of 64. What is the probability the project will be completed 16 weeks before its expected completion date? Assume X is normal.
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Chapter 7 Solutions
Practical Operations Management
Ch. 7 - Prob. 1DQCh. 7 - Prob. 2DQCh. 7 - Prob. 3DQCh. 7 - Prob. 4DQCh. 7 - Prob. 5DQCh. 7 - Prob. 6DQCh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4P
Ch. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 1.1QCh. 7 - Prob. 1.2QCh. 7 - Prob. 1.3QCh. 7 - Prob. 1.4QCh. 7 - Prob. 2.1QCh. 7 - Prob. 2.2QCh. 7 - Prob. 2.3Q
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- Activity 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_forwardExpected length of a project is 37.16 days and the variance of its length is 6.14 days. What is the probability that the project is completed within 40 days?arrow_forwardA project has the following tasks and duration estimates given. These three tasks are done in succession on a project. Task Optimistic Estimate Most Likely Estimate Pessimistic Estimate Alpha 30 days 40 days 50 days Beta 20 days 25 days 28 days Charlie 4 days 10 days 12 days Delta 25 days 30 days 50 days What is the expected duration for the project? (3 points) What is the variance for the project? (3 points) What is the standard deviation of the project? (3 points) What is the range of the duration of the project given 3 sigma? (3 points)arrow_forward
- Normal completion time and accelerated completion time Steps that can be taken to crash the project to the shortest time at the lowest cost. Hint: Determine each step's cost and the duration of the project at that stage.arrow_forwardA project has 7 activities P, Q, R, S, T, U, and V. Three time estimates (optimistic, most-likely, pessimistic) are used for each activity. Write down your answers to all parts of the question in the box given below. Give your answer to 3 decimal places. (Note (a) has of 2 parts and (b) has of 3 parts) For activity Q, these time estimates are as follows: optimistic time = 9, most-likely time = 14, pessimistic time = 20. Write down the average activity time for Q the variance of activity time for Q. The critical path of this project has a mean project time of 44 days and a standard deviation of 5 days. Assume project completion time is normally distributed. Find the probability that the project will be completed in 47 days. Find the probability that the project will take more than 40 days. We want to set a deadline for this project completion. If the probability of meeting this set deadline is 0.88, what will be the deadline for this project.arrow_forwardI also know answer is d, but please explain each and every option why other option are incorrect too. Which of the following statements regarding PERT analysis is true? Each activity has two estimates of its duration. Project variance is the sum of all activity variances. Project standard deviation is the sum of all critical activity standard deviations. Only critical activities contribute to the project variance. none of these is true.arrow_forward
- Activity A can start as soon as the project starts, and set the earliest start time for activity an equal to 0. With an expected activity time of 5 weeks. Using this information what is the earliest finish time for activity A?arrow_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_forwardYou complete your PERT calculations for your project and you have determined your expected duration is 57 weeks with a standard deviation of 1.81. You want your project to complete on your end date with a 60% probability. How many weeks before your goal end date do you begin your project?arrow_forward
- The following information has been computed from a project: Expected total project time = T = 62 weeks Project variance = 81 1- What is the probability that the project will be completed 18 weeks before its expected completion date? 2- Draw Normal Curve & Analysis your solution with conclusionarrow_forwardThere are four critical paths in a network. A-B-C-D-E, A-F-G-E, A-H-J-K-L-E and A-S-T-E. Each activity in this network can be crashed by 100 hours. The maximum possible reduction in the project duration will be: a. Insufficient information b. 1300 hours c. 500 hours d. 400 hours e. 600 hourarrow_forwardA 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_forward
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