Mgt 3410 final examination spring 2014 – Essaylink

MGT 3410 Final Examination Spring 2014

Question no 3

3. Given the following network with activities and times estimated in days,

Activity Optimistic

Most

Probable

Pessimistic

A 2 5 6

B 1 3 7

C 6 7 10

D 5 12 14

E 3 4 5

F 8 9 12

G 4 6 8

H 3 6 8

I 5 7 12

J 12 13 14

K 1 3 4

a. Fill in all the blanks in the following table. (15 points)

Note:

i) To reduce the computation load, please round the expected activity time (t)

up to an integer if the computed expected activity time is not an integer. For

example, if tA=4.15, round it up to 5.

ii) For variance (σ

2

) in activity time, keep two decimal places.

Activity

Precedence

Activities

Expected

Time t (days)

Varianc

e σ2

ES

LS

EF

LF

Slack

Critical

Path?

b. What is the expected time and variance to complete the project? (8 points)

c. What is the probability the project will take more than 28 days to complete? (8

points)

Activity

Precedence

Activities

Expected

Time t (days)

Varianc

e σ2

ES

LS

EF

LF

Slack

Critical

Path?

b. What is the expected time and variance to complete the project? (8 points)

c. What is the probability the project will take more than 28 days to complete? (8

points)

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