Workshop 2 Ch 4&5 Template
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School
Florida State College at Jacksonville *
*We aren’t endorsed by this school
Course
4341
Subject
Industrial Engineering
Date
Dec 6, 2023
Type
xlsx
Pages
10
Uploaded by angelamt91
Problem 1
3 points
A manufacturing shop is designed to operate most efficiently at an output of 650 units per da
What was their capacity utilization rate last month?
a) What was their capacity utilization rate last month?
82.31%
actual output =
535
max possible =
650
ay. In the past month, the plant averaged 535 units per day.
Problem 2
3 points
A local restaurant is concerned about their ability to provide quality service as they continue their busiest time of the week. During these time periods about 82 customers arrive per hou
they figure they can serve on average about 115 customers per hour. During these nights, a
a) Are they in the zone of service, the critical zone, or the zone of non-service?
arival rate =
82
service rate =
115
utilization =
71.30%
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to grow and attract more customers. They have collected data from Friday and Saturday nights, ur for service. Given the number of tables and chairs, and the typical time it takes to serve a customer, are they in the zone of service, the critical zone, or the zone of non-service?
critical zone
Problem 3
3 points
Cogswell Cogs, is considering the possibility of building an additional factory that would prod
The first is a small facility that it could build at a cost of $7.2 million. If demand for new produ
with the small facility. On the other hand, if demand is high, it expects $12 million in discount
Were demand to be low, the company would expect $10 million in discounted revenues with
In either case, the probability of demand being high is .45, and the probability of it being low
a) Complete the decision tree
b) Which decision should Cogswell Cogs make?
Lare Facility c) Why?
Has a higher NPV than small facility 10.9
NPV =
3.7
NPV =
3.8
11.8
Samll Facility
Build =
7.2
Low =
10
Probability
High =
12.00
Low =
0.45
High =
0.55
Large Facility
Build =
8
Low =
10
High =
14
factories cannot produce these new products. Construct a decision tree
to help Cogswe
Activity (Duration)
ES
EF
LF
LS
Small Facility 7.2 mill
Large Facility 8 mill
E1
E2
duce a new addition to its product line. The company is currently considering two options. ucts is low, the company expects to receive $10 million in discounted revenues (present value of future revenues) ted revenues using the small facility. The second option is to build a large factory at a cost of $8 million. h the large plant. If demand is high, the company estimates that the discounted revenues would be $14 million.
w is .55. Not constructing a new factory would result in no additional revenue being generated because the current Low
10
12
High
Low
10
14
High
ell Cogs make the best decision.
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Problem 4
NOTE: There are 2 parts to this problem.
3 points
The Radio Shock Electronics centralized billing department prepares monthly inventory reports for us
the store's purchasing agents. Given the following information, use the critical path method to determ
COMPLETE THE NETWORK DIAGRAM
a. How long the total process will take.
110
b. Which jobs can be delayed without delaying the early start of any subsequent activity?
Activity Job and Description
A
Start
-
0
B
Get computer printouts of customer purchases
A
13
C
Get stock records for the month
A
24
D
Reconcile purchase printouts and stock records
B, C
35
E
Total stock records by department
B, C
23
F
Determine reorder quantities for coming period
E
41
G
Prepare stock reports for purchasing agents
D, F
22
H
Finish
G
0
acefg =110
abdgh = 70
acdg = 81
abefgh = 99
Immediate predecessors
Time (Hours)
Activity (Duration)
ES
EF
LF
LS
A
Start
B 13
F 41
E 23
D 35
C 24
se by
mine:
B,G
G 22
H
Finish
Problem 5
NOTE: There are 5 parts to this problem.
3 points
The following represents a project that should be scheduled using CPM
Immediate
Time (Days) Activity predecessors a
m
b
ET
A
-
1
3
6
3.17
0.694
B
-
1
2
4
2.17
0.250
C
A
1
2
3
2.00
0.111
D
A
2
3
4
3.00
0.111
E
B
3
4
10
4.83
1.361
F
C, D
3
4
5
4.00
0.111
G
D, E
1
4
7
4.00
1.000
H
F, G
2
4
5
3.83
0.250
A-C-F-H
A-D-F-H
a. Complete the table
A-D-G-H
b. Draw the Network Diagram
B-E-G-H
c. What is the critical path?
B-E-G-H
d. What is the expected project completion time?'
14.83 DAYS
e. What is the probability of completing this project within 16 days?
0.6897305
δ
2
Activity (Duration)
ES
EF
LF
LS
A(3)
C(2)
F(4)
E(5)
G(4)
B(2)
D(3)
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2.861
1.6914819
13
14
14
15
H(4)