EMGT 501

HW #3Chapter 10 - SELF TEST 7

Chapter 10 - SELF TEST 18

Due Day: Oct 3

Ch. 10 – 7A project involving the installation of a computer system comprises eight activities. The following table lists immediate predecessors and activity times (in weeks).

ActivityImmediate

Predecessor Time

ABCDEFGH

--A

B,CDE

B,CF,G

36254393

a. Draw a project network.b. What are the critical activities?c. What is the expected project completion time?

Ch. 10 – 18The manager of the Oak Hills Swimming Club is planning the club’s swimming team program. The first team practice is scheduled for May 1. The activities, their immediate predecessors, and the activity time estimates (in weeks) are as follows.

ActivityImmediatePredecessor

ABCDEFGHI

-AA

B,CBADG

E,H,F

Description

Meet with boardHire coachesReserve poolAnnounce programMeet with coachesOrder team suitsRegister swimmersCollect feesPlan first practice

Optimistic

142121111

Time (weeks)Most Probable

164232221

Pessimistic

286343331

a. Draw a project network.b. Develop an activity schedule.c. What are the critical activities, and what is the expected

project completion time?d. If the club manager plans to start the project on

February1, what is the probability the swimming program will be ready by the scheduled May 1 date (13 weeks)? Should the manager begin planning the swimming program before February 1?

EMGT 501

HW #3

SolutionsChapter 10 - SELF TEST 7

Chapter 10 - SELF TEST 18

Ch. 10 – 7

a.

Start

A

B

C D

G

E

H

F

Finish

b. B-D-E-F-H

Ch. 10 – 7

c. 21 weeks

ActivityLatestStart

ABCDEFGH

EarliestStart

EarliestFinish

0036

11156

18

LatestFinish

466

1115181821

CriticalActivity

10100030

1046

11159

18

365

1115181521

Slack

Yes

YesYesYes

Yes

Ch. 10 – 18

Start

C

F

D G

E

H

I FinishA B

b.

Activity Variance

ABCDEFGHI

Expected Time

1.176.004.002.003.002.002.002.001.00

0.030.440.440.110.110.110.110.110.00

ActivityLatestStart

ABCDEFGHI

EarliestStart

EarliestFinish

0.001.171.177.177.171.179.17

11.1713.17

LatestFinish

1.177.177.179.17

13.1713.1711.1713.1714.17

CriticalActivity

0.000.002.000.003.00

10.000.000.000.00

0.001.173.177.17

10.1711.179.17

11.1713.17

1.177.175.179.17

10.173.17

11.1713.1714.17

Slack

YesYes

Yes

YesYesYes

c. Critical Path: A-B-D-G-H-I Expected Project Completion Time=1.17+6+2+2+2+1 =14.17 weeks

d. Compute the probability of project completion in 13 weeks or less.

With this low probability, the manager should start prior toFebruary 1.

0951.04049.05000.0)weeks13(4049.0

31.180.0

17.1413)(E13z

80.000.011.011.011.044.003.0

2I

2H

2G

2D

2B

2A

2