2. Consider the network described in the table below.

Activity	Immediate Predecessor(s)	Pessimistic	Probable	Optimistic
J	--	15	10	8
K	--	9	8	7
L	J	10	6	5
M	J	3	3	3
N	K, M	9	5	1
O	K, M	10	7	4
P	L, N	10	8	3

Draw the network diagram and answer the following questions.

(a) Calculate the expected duration of each activity.

(b) Calculate the expected duration and variance of the critical path.

(c) Calculate the probability that the project will be completed in more than 28 weeks time units.

3. The client of a project has requested the project team to crash 8 hours of time. The table below provides the necessary information about the possible project crashing.

(a) What is the crash cost for 8 hours of time-savings?

(b) Assume the team calls the client and asks for a project extension, reducing the amount of time they need to crash. The project team has a $20 crash budget. Is the budget sufficient to crash 4 hours of time?

Activity	Normal Duration (hours)	Normal Cost ($)	Crash Duration (hours)	Crash Cost (S)	Immediate Predecessors
A	2	10	2	0	None
B	3	15	2	23	A
C	5	25	4	30	B
D	3	20	1	24	C
E	6	30	4	45	C
F	1	5	1	0	C,E
G	7	35	6	50	F
H	10	50	7	62	D,G

Evaluation

The Unit Exercises will be marked in its entirety out of 100. The following rubric indicates the criteria students are to adhere to, and their relative weights to the assignment overall.