The R&D Project: There is an R&D project at a high-tech company to be managed by Joanna. She is now under pressure from the companys rivals to complete the project early with minimum cost. She has gathered the following information for project crashing. You will need to use such information to construct an AoA network as shown in R&D_Network.pdf.

Activity	(i, j) or i->j	Activity Time (days) Normal Crash		Activity Cost ($1000s) Normal Crash		Total Allowable Crash time	Marginal Crash Cost ($1000s)
A	(1,2)	6	4	200	240	2	20
B	(2,3)	8	5	500	605	3	35
C	(2,4)	2	1	570	650	1	80
D	(3,5)	4	1	840	960	3	40
E	(4,5)	7	6	355	400	1	45
F	(5,6)	3	1	400	420	2	10
G	(5,7)	5	2	710	800	3	30
Dummy 1	(3,4)
Dummy 2	(6,7)

Sub-question 1: The earliest finish (EF) time of activity D under Normal time is: ____ ABCD____

A) 18

B) 16

C) 14

D) 8

Sub-question 2: Under Normal time the earliest start (ES) time of activity E is: ____ ABCD____

A) 21

B) 16

C) 14

D) 8

Sub-question 3: Under Normal time if the earliest start (ES) time of activities F and G were 25 and 21, what would be the project duration? ____ ABCD____

A) 28 days

B) 26 days

C) 24 days

D) 23 days

Sub-question 4: under Normal time if the latest finish (LF) time of activities F and G were 28, what would be the latest start (LS) time of activity E? ____ ABCD____

A) 23

B) 16

C) 25

D) 18

Sub-question 5: how many different paths in the AoA network from node 1 to node 7? ____ ABCD____

A) 2

B) 4

C) 6

D) 8

Sub-question 6: the project duration under Normal time is: ____ ABCD____

A) 28 days

B) 26 days

C) 24 days

D) 23 days

Sub-question 7: how to crash the project by 1 day? ____ ABCD____

A) Crash activity A by 1 day (at cost $20,000)

B) Crash activity G by 1 day (at cost $30,000)

C) Crash activity F by 1 day (at cost $10,000)

D) Crash activities F and G by 1 day each (at cost 40,000)

Sub-question 8: the first step of manual crashing the project by 5 days is: ____ ABCD____

1. Crash activity G by 2 days
2. Crash activity A by 2 days
3. Crash activity F by 2 days
4. Crash activity B by 3 days

Sub-question 9: the second step of manual crashing the project by 5 days is: ____ ABCD____

1. Crash activity G by 2 days
2. Crash activities F and G by 2 days each
3. Crash activity F by 2 days
4. Crash activity B by 2 day

Sub-question 10: the last step of manual crashing the project by 5 days is: ____ ABCD____

1. Crash activity G by 2 days
2. Crash activities F and G by 2 days each
3. Crash activity F by 2 days
4. Crash activity B by 1 day