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Albany State University *
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1101
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Management
Date
Feb 20, 2024
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3
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Operations - Lesson 2 Problem Set: Solution
Part 1
A small four-step process runs with four employees, each one operating one step of the process. The cycle times are shown in the following table:
Steps
Employee
Cycle Time (Seconds/Customer)
1
Bob
10
2
Jim
15
3
Mary
8
4
Liz
12
1.
Draw the process flow diagram. (2 points)
2.
Calculate the capacity of each step in customers per minute. (5 points)
Steps
Employee
Customers per Minute
1
Bob
___6____
2
Jim
___4____
3
Mary ___7.5____
4
Liz
___5____
3.
Step __2_ is the bottleneck. (3 points)
Step 1
Bob
10 sec.
Step 2
Jim
15 sec.
Step 3
Mary
8 sec.
Step 4
Liz
12 sec.
4.
The capacity of the entire process is: _4___ customers per minute. (3 points)
5.
One day Jim called in sick. Mary agreed to do both his step and hers, but she can only do one step at a time. She is just as fast as Jim, and can also do Step 2 in 15 seconds per customer. Does the capacity of the whole process change on this day? If yes, calculate the new capacity. If no, briefly explain why not. (Must decide on yes or no, not an argument for both.) (4 points)
a.
Yes, it changes. Mary’s new capacity is 60/(15+8) = 2.6 customers/min. This is also the capacity of the entire process in Jim’s absence. b.
No, it does not change.
Part 2
A small Starbucks in middle America serves, on average, 60 customers a night. A typical night in this town is long, about 10 hours. There’s not much else to do. The manager observed customers in the store all night and she is wondering if she is allowing them to stay too long, just
using the free internet. She has gathered data on how many customers are in the store at any one time, and believes this average to be 18 customers. These customers are eating food they purchased and drinking coffee, but she has calculated that each customer could finish eating and drinking in 30 minutes.
1.
Calculate IN. There is an average of _18___ customers in the store at any point in time. (4 points)
2.
Calculate TH. Arrivals are _60/10 = 6___ customers per hour on average. (6 points)
3.
Calculate FT. The average customer spends _18/6 = 3___ hours in the store. (4 points)
4.
The average customer is spending an extra _3-0.5 = 2.5___ hour(s) more in the store than they need to eat and drink. (2 points)
Part 3
Don’s Donuts makes donuts using a three-step process as shown in the table. Each dozen (dz) costs $5 to make and is priced at $10, giving the company a margin of $5/dz. Don’s Donuts is
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Related Questions
kindly do question 5 & 6 pls. thx
Kiko Teddy Bear is a manufacturer of stuffed teddy bears. Kiko would like to be able to produce 40 teddy bears per hour on its assembly line. The following information will assist in answering the questions that follow:
Task Information for Kiko Teddy Bear
Work Element
Task Description
Immediate Predecessor
Task Time (in seconds)
A
Cut teddy bear pattern
None
90
B
Sew teddy bear cloth
A
75
C
Stuff teddy bear
B
50
D
Glue on eyes
C
20
E
Glue on nose
C
15
F
Sew on mouth
C
35
G
Attach manufacturer’s label
B
15
H
Inspect and pack teddy bear
D,E,F,G
40
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Task
Description
Immediate predecessors
Optimistic time
Most likely time
Pessimistic time
Expected Time
A
Identify equipment requirements
None
4
6
8
6
B
Solicit bids from vendors
None
6
8
16
9
C
Select a system/vendor
A,B
2
4
6
4
D
Place order for system
C
8
10
24
12
E
redesign warehouse layout
C
7
10
13
10
F
Implement new warehouse design
E
4
6
8
6
G
Design system interfaced
c
4
6
20
8
H
Integrate the interface into the system
D, F, G
4
6
8
6
I
Install the system
D, F
4
6
14
7
J
train system operators
H
3
4
5
4
k
test system
I, J
2
4
6
4
Task
Normal cost
Crashed time
Additional cost to crash 1 week
A
1000
4
450
B
1000
7
400
C
1500
2
600
D
2000
8
300
E
5000
7
1000
F
3000…
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Do the followings:
(a) Draw the precedence diagram (use the MSWord template provided).
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(c) What is the theoretical minimum number of stations? (Use MSExcel template provided).
(d) Find the positional weight and the number of following tasks for each task (Use MSExcel template provided).
(e) Assign tasks according to the greatest positional weight rule (Use MSExcel template provided).
(f) Find the efficiency of this operation (Use MSExcel template provided).
Task
Immediate predecessor
Task time (second)
A
11
B
A
25
C
A
33
D
A
13
E
B
17
F
B
22
G
B
5
H
D
34
I
D
17
J
C,G,H
25
K
E,F
6
L
I,J
15
M
J,K
21…
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Proposed Hours: ____________________________________
Reasoning:
Team Work out times ( if applicable): ___________________
Employee Schedule:
Sun
Mon
Tues
Wed
Thurs
Fri
Sat
Manager
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a)
job specialization.
b)
job enlargement.
c)
job rotation.
d)
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11
minutes.
Activity
Activity Description
Performance Time (mins)
Predecessors
A
Attach wheels to tub
5.0
−
B
Attach motor to lid
1.5
−
C
Attach battery pack
2.8
B
D
Attach safety cutoff
4.0
C
E
Attach filters
3.0
B
F
Attach lid to tub
2.0
A, E
G
Assemble attachments
3.0
−
H
Function test
3.7
D, F, G
I
Final inspection
2.0
H
J
Packing
2.0
I
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task
performance time(min)
task must follow task listed below
followers
station
time
a
1
-
3
1
3
b
1
a
3
1
3
c
2
a
2
2
2
d
1
c
2
2
2
e
3
c
2
3
4
f
1
c
2
3
4
g
1
d, e, f
1
4
4
h
2
b
1
4
4
i
1
g, h
0
4
4
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OT=_____
D= ________
CT= ____________
c. Determine the minimum number of workstation, Nmin.
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a)
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b)
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c)
Recruitment
d)
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Description
Predecessor
Duration (Days)
A
Send application forms
–
7
B
Get volunteer workers
–
18
C
Line up referees
–
10
D
Reserve fields
–
21
E
Receive and process forms
A
30
F
Determine age divisions
B, C, D, E
9
G
Assign fields to divisions
F
7
H
Sell program ads
B
2
I
Acquire donated items for team gift bags
B
20
J
Schedule games
G
14
K
Design ads
H
80
L
Fill gift bags
I
12
M
Process team t-shirt orders
E
10
N
Send acceptance letters
F
7
O
Design and print programs
J, K, L, N
18
P
Put together registration boxes (programs, gifts, etc.)
O
7
Q
Send out game schedules
J, K, L, N
8
R
Assign referees to games
J, K, L, N
7
S
Get trophies
F
8
T
Silk-screen t-shirts
M
17
U
Package team t-shirt orders
T
8
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** IMAGE ATTACHED **
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Task
Number of Following Task
a
b
c
d
e
f
g
h
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Work Station
Task Assigned
I
II
III
IV
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Percentage of idle time
________ %
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Rate of output
______________ units per day
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___________ minutes
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Publisher:PEARSON
Fundamentals of Management (10th Edition)
Management
ISBN:9780134237473
Author:Stephen P. Robbins, Mary A. Coulter, David A. De Cenzo
Publisher:PEARSON