2 Production Operations Mgmt Problems
Chap 2 PRODUCTION OPER. MGMT CLASS:
Complete problems 3.11 and 3.17 (parts c, d, e, and f) in the textbook.
Submit one Excel file. Put each problem result on a separate sheet in your file.
Problems FROM THE TEXTBOOK: (do the ones highlighted in yellow)
3.10 The activities needed to build a prototype laser scanning
machine at Dave Fletcher Corp. are listed in the following
table. Construct an AON network for these activities.
|
ACTIVITY |
IMMEDIATE PREDECESSOR(S) |
ACTIVITY |
IMMEDIATE PREDECESSOR(S) |
|
A |
— |
E |
B |
|
B |
— |
F |
B |
|
C |
A |
G |
C, E |
|
D |
A |
H |
D, F |
PREDECESSOR(S) ACTIVITY
IMMEDIATE
3.11 Dave Fletcher (see Problem 3.10 above) was able to determine
the activity times for constructing his laser scanning
machine. Fletcher would like to determine ES, EF, LS, LF, and
slack for each activity. The total project completion time and
the critical path should also be determined. Here are the activity
times:
|
ACTIVITY
|
TIME (WEEKS) |
ACTIVITY |
TIME (WEEKS) |
|
A |
6 |
E |
4 |
|
B |
7 |
F |
6 |
|
C |
3 |
G |
10 |
|
D |
2 |
H |
7 |
3.17 Bill Fennema, president of Fennema Hospitality, has
developed the tasks, durations, and predecessor relationships in
the following table for building new motels. Draw the AON network
and answer the questions that follow.
|
TIME ESTIMATES (in weeks) |
||||
|
ACTIVITY
|
IMMEDIATE PREDECESSOR(S) |
OPTIMISTIC |
MOST LIKELY |
PESSIMISTIC |
|
A |
— |
444 |
888 |
10 |
|
B |
A |
2 |
8 |
24 |
|
C |
A |
8 |
12 |
16 |
|
D |
A |
4 |
6 |
10 |
|
E |
B |
1 |
2 |
3 |
|
F |
E,C |
6 |
8 |
20 |
|
G |
E,C |
2 |
3 |
4 |
|
H |
F |
2 |
2 |
2 |
|
I |
F |
6 |
6 |
6 |
|
J |
D,G,H |
4 |
6 |
12 |
|
K |
I,J |
2 |
2 |
3 |
a) What is the expected (estimated) time for activity C?
b) What is the variance for activity C?
c) Based on the calculation of estimated times, what is the critical
path?
d) What is the estimated time of the critical path?
e) What is the activity variance along the critical path?
f) What is the probability of completion of the project before
week 36?