Spring 2015 - PMBA - HW02-Ch03
DUE: 1/11/2015
100 points
1.
Consider the following project.
Activity
Predecessors
a
m
b
A
B
Start
Start
1
3
3
7
11
17
C
D
A
C
2
1
6
4
10
13
E
F
G
B, C
B
D
6
6
2
9
7
5
18
14
14
H
D, E
E, F
5
2
8
4
17
6
I
a.
b.
c.
d.
e.
f.
g.
2.
Draw a network for the project using the immediate predecessors and calculate the
expected activity times for all the activities.
List all unique paths from start to finish and the path duration of the paths. What is the
project completion time and the critical activities?
Develop the earliest and latest start and finish times and the slack time for all the activities.
Calculate the variance and standard deviation of the project completion time.
What is the probability that the project will be late if the due date is 30 weeks?
What is the probability that the project will be completed within 25 weeks?
Determine the due date if the desired probability of completing the project on time is 99%.
Consider the following project.
Activity
A
B
C
D
E
F
G
H
I
a.
b.
c.
Predecessors
Start
Start
A
C
C
A, B
D
D, E
E, F
Normal Time
4
8
Crash time
2
4
Normal Cost
9600
7000
Crash cost
13600
7800
6
5
10
8
6
9
2
3
4
4
5
2
9300
3600
8700
5500
1600
5100
11300
6600
9100
7900
3600
7200
4
2
1700
2500
Draw the network, list all the unique paths from start to finish, and determine duration for
each path.
Identify the critical path. What is the project completion time?
What is the normal project cost.
d.
e.
f.
Calculate the Maximum Crashing Allowed and crash cost per week for all the activities.
Which activity must be crashed first and by how many periods?
What is the (i) project completion time and (ii) the project cost after crashing the selected
activity?
3. The attached Excel Shell file contains data for a CPM project. Setup the CPM model in Excel.
Using Solver determine the least possible project completion time at the least possible cost.
Assume crashing must be in whole numbers. Prepare a well formatted printout.
SHOW ALL YOUR WORK FOR FULL CREDIT -- NO WORK NO CREDIT!!!!!
Completed homework must be uploaded to Blackboard. Acceptable file formats are pdf, docx, xlsx.
Files of any other format will NOT be graded. Emailed homework will NOT be graded.
Partial answer key:
1. (b) 29, (d) 3.5434, (e) 0.38974, (f) 0.12924, (g) 37.24
2. (c) 52,100, (e) 5 weeks; (f) 24 weeks and $52,433.33
3. 59 weeks and $10,140