Data regarding the activities for a project are presented below. The times are in weeks. The critical path for this project is A - D - H - I - J - K. Activity Optimistic Time Most Likely Time Pessimistic Time A 7 9 14 B 2 2 8 C 8 12 16 D 3 5 10 E 4 6 8 F 6 8 10 G 2 3 4 H 2 2 8 I 6 8 16 J 4 6 14 K 2 2 5
a. Determine the standard deviation of the critical path.
b. Determine the probability of completing the project in 38 weeks or less.
c. What is the probability of completing the project in 32 weeks or less?
Data regarding the activities for a project are presented below. The times are in weeks. The...
(50 points) Data regarding the activities for a project are presented below. The times are in weeks The critical path for this project is A-D-H-I-J-K 2. Pessimistic Time Most Likely Time y Optimistic Time 8 16 10 8 10 12 8 14 5 6 2 a. Determine the standard deviation of the critical path. b. Determine the probability of completing the project in 38 weeks or less c What is the probability of completing the project in 32 weeks or...
A partially solved PERT problem is detailed in the table below. Times are given in weeks. Activity Preceding Optimistic Time Probable Time Pessimistic Time Expected Time Variance A -- 7 9 14 1.361 B A 2 2 8 0 C A 8 12 16 0 D A 3 5 10 1.361 E B 4 6 8 0 F B 6 8 10 0 G C, F 2 3 4 0 H D 2 2 8 1.000 I H 6 8...
The estimated times and immediate predecessors for the activities in a project at Caesar Douglas’s screening company are given in the following table. Assume that the activity times are independent. All times are in weeks. Activity Predecessors Optimistic Time (a) Most Likely Time (m) Pessimistic Time (b) A -- 9 10 11 B -- 4 10 16 C A 9 10 11 D B 5 8 11 What is the critical path based on expected times? You may use any...
Question 1. Activities and activity durations of a Project is given below. (10 points) Find the probability of completing the Projcct in 50 weeks b. (10 points) Find the probability of completing the Project in 20 weeks. (10 points) Find the probability of completing the Project in 58 weeks. d. (10 points) Find the probability of completing the Project in 90 weeks. Most Pessimistic Time (weeks) 6 Most Optimistic Time (weeks) Most Probable Previous Activity 2 Activity Time (weeks) 4...
activity preceding optimistic probability pessimistic a -- 7 9 14 b a 2 2 8 c a 8 12 16 d a 3 5 10 e b 4 6 8 f b 6 8 10 g c,f 2 3 4 h d 2 2 8 i h 6 8 16 j g,i 4 6 14 k e,j 2 2 5 a. What is the estimated time of completing the project if the critical path is A-D-H-I-J-K? b. calculate the project...
PERT Analysis: The following represents a project with four activities. All times are in weeks. Activity Immediate Predecessor Optimistic Time Most Likely Time Pessimistic Time A - 3 8 14 B - 8 8 8 C A 6 9 18 D B 6 11 17 According to the data in the above Table: What is the critical path? What is the minimum expected completion time for the project? According to the above Table, there are four activities in the project....
Using the following information about Project A, its activities and predecessor activities below: Activity Predecessors A в B C D E, F D G The following table contains the pessimistic, likely, and optimistic estimates for how long activities are estimated to take for Project A. Activity Pessimistic Likely Optimistic 2 5 20 H 16 e. Calculate the time estimates (TE) f. Calculate the variance (s) g. Convert the TE to whole integers and place them in the network diagram for...
123) Given (Time in weeks): Activity Optimistic Most Likely Pessimistic A 3 4 5 B 6 7 14 C 2 3 10 D 6 9 12 E 4 5 12 F 1 3 11 G 1 2 9 H 2 5 8 I 1 4 7 Determine: (a) the critical path. ( HOW DO I DO THIS WITH OUT A PREDECESSOR?) (b) the probability that the project will be completed in 22 weeks.
1. Sid Orland is involved in planning a scientific research project. The activities are displayed in the following diagram. Optimistic, most likely, and pessimistic time estimates are displayed in the following table. Figure for Problem 1. r e 14 16 E 4 H 4 7 11 7 11 16 20 G 5 0 33 611 16 11 16 D 3 Most Likely Pessimistic Activity Optimistic 4 4 (a) Determine the expected times and variances for each activity along the critical...
Given the information below, what is the probability that the critical path will be completed in 25 weeks? Time Estimates (Weeks) Activity Optimistic Most Likely Pessimistic IP A 1 4 7 None B 5 6 7 None C 2 4 6 B D 4 16 10 A E 4 6 14 A, C F 6 8 16 B G 1 5 9 D,E,F The probability is less than 0.25. The probability is between 0.5 to 0.75. The probability is between...