Exercise 1: (10 points)

Caesar Douglass retinal scanning company has a goal of transforming into a green business by the next 5 years. You are the project manager for Project A; the first of the many projects the organization will launch to achieve its goal. Below are the details of the project.

Activity	Immediate Predecessor(s)	Optimistic Time (days)	Most Likely Time (days)	Pessimistic Time (days)
A	---	4	6	7
B	---	1	2	3
C	A	6	6	6
D	A	5	8	11
E	B,C	1	9	18
F	D	2	3	6
G	D	1	7	8
H	E,F	4	4	6
I	G,H	1	6	8
J	I	2	5	7
K	I	8	9	11
L	J	2	4	6
M	K	1	2	3
N	L,M	6	8	10

Once Project A is completed, two other projects will be designed according to the lessons learned and the findings from project A. The managers of the other projects would like to determine the total project completion (in days) for Project A and those activities that are along the critical path.

1. Draw the AON. What is project completion time? P.S. round activity time. (1.5 point)
2. Which activities cannot afford any delays without delaying the project? (1 point)
3. Which activity has the most flexibility in terms of when it starts or how much it is delayed? (1 point)
4. What is the probability of Project A being completed in 53 days? (2 points)
5. In order to better plan for their project, they ask you to set a date (number of days) that results in a 99% probability of Project A completion. (1.5 points)

Note: Submit a table with ES EF LS LF and Slack Time. The AON you submit does not need to include task time and ES EF LS LF. It has, however, to show nodes and precedence relationships.

Exercise 2: Project Crashing (5 points)

McLean Hospital is planning a project to build a new COVID-19 care facility. The activities necessary for this project are listed in the table below:

Activity	Normal Time (weeks)	Crash Time (weeks)	Normal Cost	Crash Cost	Immediate Predecessor(s)
A	4	3	2000	2600	-
B	2	1	2200	2800	-
C	3	3	500	500	-
D	8	4	2300	2600	A
E	6	3	900	1200	B
F	3	2	3000	4200	C
G	4	2	1400	2000	D,E

1. What is the project completion time? (1 points)
2. What is the total cost for completing this project on normal time? (1 points)
3. Given the urgency of the situation, you need to reduce the time required to complete this project by 2 weeks. Which activities should be crashed, and how much will this increase or decrease total cost? (3 points)