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Given the table below for a project consisting of 10 tasks: Task Precedence Opti

ID: 1187435 • Letter: G

Question

Given the table below for a project consisting of 10 tasks:

Task Precedence Optimistic Most Likely Pessimistic

A - 6 9.9 14.49

B A 1 3 5.2

C - 2 3.5 8

D C 1.9 4 12.3

E A, D 2 3 10.27

F A, D 3.8 4.1 15.8

G B, E 3 4.5 9

H F 1 1.7 4.3

I G, H 3.5 5.1 12

J F 5.1 12.9 15.1

a. Draw the network graph

b. Compute the Expected Value for each task (show these values on the above table).

c. Compute the Variance for each task (show these values on the above table).

d. Compute the Earliest Start, Earliest Finish, Latest Start, Latest Finish, and Slack for each

task. Show ES, EF, LS, LF on the network graph, show Slack on the above table)

e. What tasks are on the Critical Path? (highlight it on the network graph)

f. What is the Expected project completion time?

g. What is the Standard Deviation of the project completion time?

h. Draw the project probability distribution function, what is the name of this distribution?

i. Label the distribution with the mean, standard deviation (positive and negative), and 2x

the standard deviation (positive and negative) values.

j. What is the probability that the task will be completed by 24 days? (show this on the

distribution plot)

k. What is the probability that the project will be completed by 33 days? (show this on the

distribution plot)

l. Draw a Gantt Chart for the project. Show each task (and label with task number), task

slack, precedence order (arrows indicating task end to task start) and highlight tasks on

the critical path.

m. You realize you can put some extra resources on Task A. How much time can reduce

Task A while still seeing a reduction in the overall schedule?

Explanation / Answer

it is not clear


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