Instructions

The Unit Exercises are designed to reflect the understanding of key concepts and techniques of POM and evaluate students analytical skills. There will be 5 exercise sets during the course. These exercises are quantitative.

Unit 2 Exercise

1. Below is a network diagram that represents a university revamp project. The project manager analyzes this project using the critical path (CP) method. Activity durations are indicated on the network.

(a) Which is the CP?

(b) Calculate the duration of the CP.

(c) Calculate the amount of slack time at activity H.

(d) If activity I were delayed by ten time-units, what would be the impact on the project duration?

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.

d 1 Normal T No Spad. Heading 1 Heading 2 Title Subtitle Subtle Em... 2. A che Reg Seld Paragraph F Styles Editi Instructions The Unit Exercises are designed to reflect the understanding of key concepts and techniques of POM and evaluate students' analytical skills. There will be 5 exercise sets during the course. These exercises are quantitative. Unit 2 Exercise kly 1. Below is a network diagram that represents a university revamp project. The project manager analyzes this project using the critical path (CP) method. Activity durations are indicated on the network. g styles O (a) Which is the CP? (b) Calculate the duration of the CP. End (c) Calculate the amount of Start slack time at activity H. be the (d) If activity I were delayed by time-units, what would impact on the project duration? I D H O 2. Consider the network described in the table below, Immediate D Focus 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? 6) 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 520 crash budget. Is the budget sufficient to crash 4 hours of time? 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 Normal Crash Normal Crash Immediate Duration Duration Activity (hours) Cost (S) (hours) Cost (S) Predecessors A 2 10 2 0 None B. 3 15 2 23 A C 5 25 4 30 B D 3 20 24 E 6 4 45 F 1 5 0 7 35 6 50 F H 10 50 7 62 D.G 30 1 2. Consider the network described in the table below. Immediate - Activity Predecessor(s) J K J M K, M K, M IN Pessimistic 15 9 10 3 9 10 10 Probable Optimi 10 8 8 7 6 5 3 3 5 J 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 un