Homework #4

Problem 1

The management of a factory is going to establish a
maintenance building with a connecting electrical generator and water tank. The
activities, activity descriptions, and estimated durations are given in the
following table.

Activity

Description

Immediate Predecessors

Duration
(days)

A

Excavate

—

2

B

Erect
building

A

10

C

Install
generator

A

8

D

Install tank

A

2

E

Install
maintenance equipment

B

5

F

Connect
generator and tank to building

B, C, D

6

G

Paint on a
finish

E, F

3

H

Check out
facility

G

2

Part I:
a) Draw
the project network;
b) Calculate
the ES, EF, LS, LF and slack associated with each activity;
c) Determine
the critical path and the project duration.

Part II:

The manager decides to shorten the project duration 3 days.
The accountant provides the following information about the cost and the
maximum number of days an activity can be reduced shown in the following table.

Activity

Description

Cost per day

Maximum number of days

B

Erect
building

$30

2

C

Install
generator

$40

1

E

Install
maintenance equipment

$20

2

F

Connect
generator and tank to building

$35

2

G

Paint on a
finish

$25

1

H

Check out
facility

$50

1

a) To
accomplish the goal, which activity (s) to invest and how many days for each
activity?
b) What
is minimum investment amount?
c) After
the investment, what is the critical path?Homework #4Problem 1The management of a factory is going to establish a
maintenance building with a connecting electrical generator and water tank. The
activities, activity descriptions, and estimated durations are given in the
following table.ActivityDescriptionImmediate PredecessorsDuration(days)AExcavate—2BErect
buildingA10CInstall
generatorA8DInstall tankA2EInstall
maintenance equipmentB5FConnect
generator and tank to buildingB, C, D6GPaint on a
finishE, F3HCheck out
facilityG2Part I:a) Draw
the project network;b) Calculate
the ES, EF, LS, LF and slack associated with each activity;c) Determine
the critical path and the project duration.Part II:The manager decides to shorten the project duration 3 days.
The accountant provides the following information about the cost and the
maximum number of days an activity can be reduced shown in the following table.ActivityDescriptionCost per dayMaximum number of daysBErect
building$302CInstall
generator$401EInstall
maintenance equipment$202FConnect
generator and tank to building$352GPaint on a
finish$251HCheck out
facility$501a) To
accomplish the goal, which activity (s) to invest and how many days for each
activity?b) What
is minimum investment amount?c) After
the investment, what is the critical path?