Question details

Chart for the project described by the following set of activities
$ 15.00


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COMM 225: POM

TOPIC 2:

PROJECT MANAGEMENT

PRACTICE

QUESTION

S

(with answers)

Q1 (Ref: Q. 9

-

1, p408 of textbook)

:

Construct a Gantt

chart for the project described by the following set of

activities, and indicate the project completion time:

Activity

Predecessor

Time (Weeks)

1

2

3

4

-

-

1

2

5

4

3

6

Ans.:

Project completion time = 10 weeks

Q

2

(Ref: Q. 9

-

5, p408 of textbook)

:

For the network

described in Problem 9.4 (also given below),

determine the earliest start and finish times, latest

start and finish times, and slack for each activity.

Indicate how the critical path would be determined

fro

m this information.

Activity

Predecessor

Time (Weeks)

1

2

3

4

5

6

7

-

-

1

2

2

3,4

5,6

7

10

6

5

4

3

2

Ans.:

Critical path comprises of activities with zero

slack; for the above problem, critical path is 2

-

4

-

6

-

7

and the duration is 20 weeks.

Q

3

(Ref: Q. 9

-

11, p409

-

410 of textbook)

:

The

management of a factory is going to erect a

maintenance building with a connecting electrical

generator and water tank. The activities, activity

descriptions, and estimated durations are given in the

table

below.

Construct the network for the project,

identify the critical path, and determine the project

duration time.

Activity

Description

Predec

-

essor

Duration

(Weeks)

a

b

c

d

e

f

g

h

Excavate

Erect Building

Install Generator

Install Tank

Install Main Equip.

Connect to building

Paint on a finish

Check out facility

-

a

a

a

b

b,

c,

d

b

e, f

2

6

4

2

4

5

3

2

Ans.:

Critical path is a

-

b

-

f

-

h and the duration is 15

weeks.

Q4

(Ref: Q. 9

-

13, p410 of textbook)

:

The Farmer’s

American Bank of Leesburg is planning to install a new

computerized accounts system. Bank management has

determined the activities required to complete the

project, the precedence relationships of the activities,

and activity time estimates a

s follows:

Activity

Predecessor

Time

Estimates (W

eeks)

a

m

b

a

b

c

d

e

f

g

h

i

j

k

-

-

a

a

b, c

b, c

d, e

d, e

h

f, g

g, i

5

3

4

5

1

1

3

1

1

2

5

8

12

7

8

1

4

6

2.5

1

2

8

17

15

10

23

1

13

9

7

1

2

11

Determine the

earliest and latest activity times, the

expected completion time and standard deviation, and

the probability that the project will be completed in 40

weeks or less.

Ans.:

Critical path is a

-

d

-

g

-

k and the

expected

completion time

is

33

weeks

; standard

deviation =

3.87 weeks; probability that the project will be

completed in 40 weeks or less = 0.9649.

Q5

(Ref: Q. 9

-

17, p411 of textbook)

:

The Stone River

Textile Mill was inspected by OSHA and found to be in

violation of a number of safety regulations. The OSHA

inspectors ordered the mill to alter some existing

machinery to make it safer (e.g. add safety guards);

purchase some new machinery

to make safer passages

and unobstructed entrances and exits.

OSHA gave the

mills only 35 weeks to make the changes; if the

changes were not made by then, the mill would be

fined $300,000. The mill determined the activities in a

PERT network that would have to be completed and

then estimated the indicated activity ti

mes, as shown

in the table below.

Activity

Predecessor

Time Estimates

(Weeks)

a

m

b

a

b

c

d

e

f

g

h

i

j

k

-

-

-

a

a

b

c

d, e

d, e, f

d, e, f, g

h, i, j

1

2

1

4

3

10

5

2

1

2

2

2

5

3

10

7

15

9

3

4

5

2

3

8

5

25

12

25

14

7

6

10

2

 

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2

Construct the PERT network for this project and

determine the following:

a)

Expected activity times

b)

Earliest and latest activity times and activity

slack

c)

Critical path

d)

Expected project duration and variance.

e)

The probability that the mill will be fined

$300,

000.

Ans.:

Critical path is b

-

f

-

g

-

k

;

Expected project duration

= 28.17 weeks

;

Variance = 9; Standard Deviation = 3

weeks;

probability

that the mill will be fined $300,000

= 0.0113

Q6

(Ref: Q. 9

-

24, p413 of textbook)

:

For the s

olved

problem at the end of

the chapter

(page 406 of the

textbook)

, assume that the most likely times (m) are

the normal activity times and the optimistic times (a)

are the activity crash times

(in days)

as shown in the

table below

.

Further assume that the activities have

the followi

ng normal and crash costs:

Activity

Prede

-

cessor

Normal

Times

(Days)

Crash

Times

(Days)

Normal

Costs

Crash

Costs

1

2

3

4

5

6

7

-

-

1

1

2

, 3

2, 3

4, 5

7

10

6

5

4

3

2

5

7

3

1

4

3

3

$100

$250

$400

$200

$150

$100

$300

$400

$400

$800

$400

$300

$100

$500

Crash the network the maximum amount possible and

indicate the total crash cost.

Ans.:

(Normal) Project completion time = 23 days

Normal Cost = $ 1500

Minimum project completion time =

15

days

Crash

ing

cost = $

11

50

Total network Cost = $

2650

Q7

(Ref: Q. 9

-

25, p413

-

414 of textbook)

:

The

following table provides the crash data for the project

network in Problem 9

-

13. The normal activity times

are considered to be deterministic

and not

probabilistic.

Crash the network the maximum amount,

indicate how much it would cost the bank, and identify

the critical path(s).

Activity

Prede

-

cessor

Normal

Times

(Days)

Crash

Times

(Days)

Normal

Costs

Crash

Costs

a

b

c

d

e

f

g

h

i

j

k

-

-

a

a

b, c

b, c

d, e

d,

e

h

f, g

g, i

9

11

7

10

1

5

6

3

1

2

8

7

9

5

8

1

3

5

3

1

2

6

4,800

9,100

3,000

3,600

0

1,500

1,800

0

0

0

5,000

6,300

15,500

4,000

5,000

0

2,000

2,000

0

0

0

7,000

Ans.:

Critical path is

a

-

d

-

g

-

k

(Normal) Project completion time = 33

weeks

Normal Cost = $

28,800

Minimum project completion time = 26

weeks

Crash

ing

cost = $5,100

Total network Cost = $33,900

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