Question

Colonial State College is considering building a new multipurpose athletic complex on campus. The complex would provide a new gymnasium for intercollegiate basketball games, expanded office space, classrooms, and intramural facilities. The following activities would have to be undertaken before construction can begin, which is scheduled 40 weeks later: Activity Predecessors Original length (weeks) Number of Crash weeks activity cost per can be crashed week / (or 0) A,B A: Survey building site B: Develop initial design C: Obtain board approval D: Select architect E: Establish budget 6 F: Finalize design G: Obtain financing H: Hire contractor $2000 C DE $800 $1000 8 F, G 1 1). Which one is the critical path? a. A-C-E-F-H b. A-C-D-F-H CB-C-E-G-H d. A-C-E-G-H

2.

Can the project be completed before construction can begin, which is scheduled 40 weeks later?

	a.	Yes, because the project duration time is 39 weeks.
	b.	No, because the project duration time is 41 weeks.
	c.	No, because the project duration time is 42 weeks.
	d.	Yes, because the project duration time is 40 weeks.

3.

Which activities can be delayed without delaying the projection completion time?

	a.	B, D and F
	b.	B, D and G
	c.	A, D and G
	d.	A, D and F

4.

To meet the 40-week construction deadline, what activities the manager should crash if necessary? What is the cost?

	a.	Crash E and G by 1 week respectively at a total cost of $3000.
	b.	There is no need to crash because it is meeting the deadline.
	c.	Crash E by 2 weeks at a cost of $4000.
	d.	Crash F by 1 week and G by 2 weeks respectively at a total cost of $2800.
	e.	Crash F by 1 week at a cost of $800.

Answer 1

The precedence diagram as follows :

A	B
C
D	E
F		G
H

The possible paths and their corresponding durations as follows :

A-C-D-F-H = 8 + 12 + 3 + 7 + 8 = 38

B-C-D-F-H = 6 + 12 + 3 + 7 + 8 = 36

A-C-E-F-H = 8 +12+6 +7+8 = 41

B-C-E-F-H = 39

A-C-E-G-H = 42

B-C—E-G-H = 40

Out of above. A-C-E-G-H has the longest duration and hence forms the critical path.

ANSWER : d) A-C-E-G-H

Answer to Question 2 :

Answer : c) No, because project duration time is 42 weeks

Answer to question 3 :

Those activities which don’t fall on critical path can be delayed without delaying overall duration of the project

Such activities are , B ,D,F

ANSWER : a) B,D,F

Answer to question C :

One /or more of the activities on the critical path should be crashed by a total of 2 weeks to meet the project deadline of 40 weeks

From the given data , it can be E.F,G which can be   crashed. However , we rule out F since it does not fall on the critical path.

So , we are left with choices E or G

So , we crash E and G (both of which lie on critical path) at a cost of $2000 + $1000 = $3000