Operations Management 1st Edition by Cachon – Test Bank
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Sample Test
Chapter 03 Test Bank KEY
1. The
primary purpose of a process analysis is to crowdsource new product ideas.
FALSE
The purpose of process an alysisis to improve a process.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
2. The
capacity of a resource is the average flow rate of that resource.
FALSE
The capacity of a resource is the maximum number of flow units
that can flow through that resource per unit of time.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
3. Cycle
time is the same as lead time.
FALSE
Cycle time is the time between completing two consecutive flow
units, whereas lead time is the time between when an order is placed and when
it is received.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
4. A
bottleneck is the resource with the lowest capacity.
TRUE
A bottleneck is the resource with the lowest capacity in a
multistep process.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
5. A
resource with a utilization of less than 100% is never the bottleneck.
FALSE
When the process is demand constrained, even the bottleneck will
have a utilization of strictly less than 100%
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
6. It
matters whether the process starts empty or not when computing the time it
takes to produce a certain order quantity.
TRUE
If the process is already running, the time it takes to
produce X units
is equal to Cycle time of the process × X.
If the process starts empty, the time it takes to produce the first unit should
be added to Cycle time of the process × (X –
1).
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-05 Determine how long it takes to produce
a certain order quantity.
Topic: The Time to Produce a Certain Quantity
7. Which
of the following statements about process analysis is TRUE?
1. Process
analysis only matters to those who are in accounting.
2. Process
analysis is all about keeping track of revenue and costs.
3. Process
analysis is all about creating demand.
4. Process
analysis helps one analyze all the activities involved in providing one unit of
supply.
Process analysis helps in analyzing a process to make
improvements.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
8. Resources
are shown in a process flow diagram as:
1. boxes.
2. arrows.
3. spheres.
4. triangles.
Resources are represented as boxes in a process flow diagram.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
9. Inventory
is shown as ____________ in a process flow diagram.
1. boxes
2. arrows
3. spheres
4. triangles
Inventory is shown as triangles in a process flow diagram.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
10. Which
of the following is a resource in an outpatient clinic?
1. Flu
shot
2. X-ray
machine
3. Ambulance
4. Reputation
Equipment such as an X-ray machine is a resource at an
outpatient clinic.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
11. You
are filling your prescription at a pharmacy and are waiting in line in front of
the pickup window. Which one of the following processes will be upstream
relative to your current position in the process?
1. Paying
for the prescription
2. Waiting
to take the prescription
3. Inspecting
the prescription
4. Dropping
off the prescription
You have to drop off the prescription before picking it up.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
12. _______________
are used to show the journey of a flow unit from input to output.
1. Boxes
2. Arrows
3. Spheres
4. Triangles
Arrows are used to show the journey of a flow unit from input to
output.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
13. Refer
to the process flow diagram below. Station 1 is at the ______________ of the
process.
14. downstream
15. upstream
16. target
17. bottleneck
The beginning of the flow (where Station 1 is) is called the
upstream of the process.
AACSB: Analytical Thinking
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
14. Refer
to the process flow diagram below. Station 3 is at the ______________ of the
process.
1. downstream
2. upstream
3. target
4. bottleneck
The end of the flow (where Station 3 is) is called the
downstream of the process.
AACSB: Analytical Thinking
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
15. Refer
to the process flow diagram below. Station 2 is the ______________ of Station
1.
1. customer
2. supplier
3. target
4. bottleneck
Resources downstream are the customers of resources upstream.
AACSB: Analytical Thinking
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
16. A
process analysis of a hospital’s emergency room can answer all of the following
questions EXCEPT:
1. What
is the average waiting time of a patient?
2. How
many patients can be treated each day?
3. How
busy are the physicians in the outpatient clinic?
4. How
many beds are in the emergency room?
A process analysis of a hospital’s emergency room can answer
questions related to all activities involved in providing medical care to
patients in the emergency room.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Draw a Process Flow Diagram
17. Which
of the following process flow diagrams is a correct depiction of the checkout
process at a store: “Customers wait in line at a common area and will be
checked out by the next available cashier.”
18.
B.
C.
1.
One triangle indicates one common waiting area and the three
boxes represent three cashiers serving the next customers waiting in line at
the common area.
AACSB: Analytical Thinking
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
18. Which
of the following process flow diagrams is a correct depiction of the checkout
process at a store: “Customers wait in line in front of one of three cashiers
for checkout.”
19.
B.
C.
1.
There are three triangles (waiting area), one in front of each
box (cashier) showing that each cashier has its own waiting line.
AACSB: Analytical Thinking
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
19. Which
of the following process flow diagrams is a correct depiction of the checkout
process at a store: “Customers wait in line to drop off their order in one
station before waiting to pick their order up in another station.”
20.
B.
C.
1.
There are two steps in the checkout process: drop off and pick
up. Each step requires waiting. Therefore, a triangle (waiting area) will be
placed in front of each of the two boxes (stations).
AACSB: Analytical Thinking
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-01 Draw a process flow diagram.
Topic: How to Draw a Process Flow Diagram
20. The
_______________ of a resource is how long that particular resource takes to
complete one flow unit.
1. flow
time
2. flow
rate
3. processing
time
4. processing
rate
The time it takes for a resource to complete one flow unit is
called the processing time.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
21. The
capacity of a resource determines the ___________ number of flow units that can
flow through that resource per unit of time.
1. maximum
2. minimum
3. average
4. medium
The capacity of a resource determines the maximum number of flow
units that can flow through that resource per unit of time.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
22. The
process capacity determines the ______________ a process can provide per unit
of time.
1. minimum
flow rate
2. maximum
flow rate
3. maximum
flow time
4. minimum
flow time
The process capacity determines the maximum flow rate a process
can provide per unit of time.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
23. One
employee is in charge of the following activities at a drive-through of a bank:
Activity |
Activity Time per Customer |
Greet customer |
2 seconds |
Take order |
3 seconds |
Process order |
2 minutes |
Print receipt |
10 seconds |
What is the processing time (in seconds) of the drive-through
process at the bank?
4. 4.25
5. 17
6. 33.75
7. 135
The processing time of a process is the sum of the activity
times of all its activities.
AACSB: Analytical Thinking
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
24. One
employee is in charge of the following activities at a drive-through of a bank:
Activity |
Activity Time per Customer |
Greet customer |
2 seconds |
Take order |
3 seconds |
Process order |
2 minutes |
Print receipt |
10 seconds |
What is the capacity (in customers per hour) of the employee?
1. 0.007
2. 0.44
3. 26.67
4. 33.75
Capacity = 1/[2 + 3 + (2 × 60) + 10] = 0.007 customer per second
= 0.007 ×60 (seconds/minute) ×60 (minutes/hour) = 26.67 customers per hour.
AACSB: Analytical Thinking
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
25. One
employee is in charge of the following activities at a drive-through of a bank:
Activity |
Activity Time per Customer |
Greet customer |
2 seconds |
Take order |
3 seconds |
Process order |
2 minutes |
Print receipt |
10 seconds |
What is the bank’s process capacity (in customers per minute)?
1. 0.007
2. 0.44
3. 26.67
4. 33.75
Since there is only one employee, the process capacity = 1/[2 +
3 + (2 × 60) + 10] = 0.007 customer per second = 0.007 × 60 (seconds/minute) =
0.44 customer per minute.
AACSB: Analytical Thinking
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
26. A
bank has three tellers. It takes a teller 6 minutes to serve one customer. What
is the capacity of the bank in customers per hour?
1. 6
2. 18
3. 20
4. 30
Capacity = 3/6 × 60 = 30 customers per hour.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
27. A
bank has three tellers. It takes a teller 6 minutes to serve one customer. What
is the capacity of the bank (in customers per hour) over the course of an
8-hour workday?
1. 48
2. 144
3. 160
4. 240
Capacity = 3/6 × 60 customers per hour × 8 hours = 240 customers
per hour.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-02 Determine the capacity for a one-step
process.
Topic: Capacity for a One-Step Process
28. Customers
are driving away after failing to find a place to park at a supermarket. The
process currently is:
1. capacity
constrained.
2. demand
constrained.
3. supply
exceeds demand.
4. capacity
unconstrained.
Customers leaving without being served means that the demand
exceeds supply or the supermarket is capacity constrained.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the utilization,
and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
29. Capacity
is constrained when _________ exceeds _____________ and the flow rate is equal
to ____________.
1. supply,
demand, process capacity
2. supply,
demand, demand
3. demand,
supply, process capacity
4. demand,
supply, demand
Flow rate is the minimum of demand or process capacity. Capacity
is constrained when demand exceeds supply; flow rate is limited to the process
capacity.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
30. The
process is ___________ constrained when ___________ exceeds
___________ and the flow rate is equal to the demand rate.
1. Demand,
supply, demand
2. Capacity,
supply, demand
3. Demand,
demand, supply
4. Capacity,
demand, supply
Flow rate is equal to the demand rate means demand is
constrained, which happens when supply exceeds demand.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
31. Process
utilization is the ratio between __________ and ______________.
1. flow
time, flow rate
2. flow
rate, process capacity
3. process
capacity, flow time
4. process
time, process capacity
Process utilization is the ratio between flow rate and process
capacity.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
32. You
observe a long line at C&A Bakery with customers leaving every 4 minutes.
What is the capacity (in customers per hour) of the bakery?
1. 0.25
2. 4
3. 15
4. Cannot
be determined.
Flow rate = 1/Cycle time = 1/4 = 0.25 minute. Capacity = Flow
rate when capacity is constrained = 0.25 customer per minute = 0.25 × 60
(minutes/hour) = 15 customers per hour.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
33. A
help desk can answer 200 calls per hour. The demand rate is 250 calls per hour.
What are the cycle time (in minutes per call) and utilization of the call
center?
1. 0.005,
1
2. 0.004,
0.8
3. 0.24,
0.8
4. 0.3,
1
Flow rate = Min(demand, capacity) = Min(250, 200) = 200 calls
per hour. Cycle time = 1/Flow rate = 1/200 hour per call = 1/200 × 60
(minutes/hour) = 0.3 minute per call. Utilization = Flow rate/Capacity =
200/200 = 1.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
34. Which
of the following statements is TRUE?
1. Utilization
of a resource is at its maximum when the flow rate exceeds its capacity.
2. Utilization
of a resource is at its maximum when the flow rate is equal to its capacity.
3. Utilization
of a resource is at its minimum when the flow rate exceeds its capacity.
4. Utilization
of a resource is at its minimum when the flow rate is equal to its capacity.
Utilization of a resource is at its maximum when it is equal to
one or the flow rate is equal to its capacity.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
35. One
employee is in charge of the following activities at a refreshment stand:
Activity |
Activity Time per Customer |
Greet customer |
5 seconds |
Take order |
25 seconds |
Process order |
1.5 minutes |
Print receipt |
30 seconds |
If demand rate is 20 customers per hour, what are the flow rate
(in customers per hour), utilization, and cycle time (in minutes per customer)?
1. 24,
1, 0.04
2. 24,
1, 2.5
3. 20,
0.83, 0.05
4. 20,
0.83, 3
Processing time = 5 + 25 + (1.5 × 60) + 30 = 150 seconds.
Process capacity = 1/150 × 60 (seconds/minute) × 60 (minutes/hour) = 24
customers per hour. Flow rate = Min(Demand, Process capacity) = Min(20, 24) =
20 customers per hour. Utilization = Flow rate/Process capacity = 20/24 = 0.83.
Cycle time = 1/Flow rate = 1/20 × 60 (minutes/hour) = 3 minutes per customer.
AACSB: Analytical Thinking
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
36. A
patient leaves an outpatient clinic every 5 minutes. There are 5 patients in
the clinic waiting to be seen by the physician. How long will a patient be in
the clinic?
37. 5
38. 10
39. 15
40. 25
Flow time = Inventory × Cycle time = 5 patients × 5 minutes per
patient = 25 minutes.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
37. A
team of 10 volunteers is visiting families in a local community to deliver
canned goods. It takes one volunteer 4 hours to complete one visit. What is the
capacity of the team over the course of an 8-hour workday?
2. 2.5
3. 2
4. 20
5. 25
Process time = 4 hours. Capacity = 1/Process time = 1/4 = 0.25
family per hour per volunteer. Capacity of 10 volunteers over an 8-hour day =
0.25 × 10 × 8 = 20 families per day.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Compute Flow Rate, Utilization, and Cycle Time
38. Guests
are arriving at a party at a rate of 12 per minute. Each guest will be checked
in, served a drink, and accompanied to his/her table by one receptionist, one
bartender, and one usher respectively. Both the receptionist and usher can
serve 10 guests per minute, whereas the bartender takes 5 minutes to serve one
guest. Which of the following conclusions can be drawn?
1. The
capacity of the bartender is the same as that of the receptionist.
2. The
capacity of the bartender is higher than that of the receptionist.
3. The
capacity of all three resources is the same.
4. The
capacity of the usher is higher than that of the bartender.
Capacity = 1/Process time. Capacity for both the receptionist
and usher = 10 guests per minute. Capacity of the bartender is 1/5 = 0.2
guest per minute. Because demand is higher than the capacity of any of the
three resources, Flow rate = Capacity. Therefore, the capacity for both the
receptionist and usher = 10 guests per minute, which is higher than that of the
bartender’s 1/5 = 0.2 guest per minute.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
39. Guests
are arriving at a party at a rate of 12 per minute. Each guest will be checked
in, served a drink, and accompanied to his/her table by one receptionist, one
bartender, and one usher respectively. Both the receptionist and usher can
serve 10 guests per minute, whereas the bartender takes 5 minutes to serve one
guest. Which resource is the bottleneck and what is the process capacity in
guests per minute?
1. Receptionist,
10
2. Bartender,
5
3. Bartender,
0.2
4. Usher,
5
Capacity = 1/Process time. Capacity for both the receptionist
and usher = 10 guests per minute. Capacity of the bartender is 1/5 = 0.2
guest per minute. The bottleneck is the bartender because it is the resource
with the lowest capacity. The lowest capacity also defines the process
capacity, which is 0.2 guest per minute.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
40. Guests
are arriving at a party at a rate of 12 per minute. Each guest will be checked
in, served a drink, and accompanied to his/her table by one receptionist, one
bartender, and one usher respectively. Both the receptionist and usher can
serve 10 guests per minute, whereas the bartender takes 5 minutes to serve one
guest. The _____ is a nonbottleneck resource and its utilization is ____.
1. Usher,
2%
2. Bartender,
100%
3. Usher,
100%
4. Receptionist,
20%
Capacity for both the receptionist and usher = 10 guests per
minute. Capacity of the bartender is 1/5 = 0.2 guest per minute. Process
capacity = Bottleneck capacity = 0.2 guest per minute. Flow rate = Min(Demand,
Process capacity) = Min(12, 0.2) = 0.2 guest per minute. Utilization = Flow
rate/Capacity. Utilization for both the receptionist and usher (nonbottleneck)
= 0.2/10 = 2%.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
41. Which
of the following statements is FALSE?
42. Nonbottleneck
resources have slack capacity.
43. A
bottleneck resource must have a utilization of 100%.
44. Nonbottleneck
resources have a less than 100% utilization.
45. A
bottleneck resource does not always have the longest processing time.
A bottleneck resource can have a less than 100% utilization if
demand constrained the process.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
42. Patients
are arriving at a clinic at a rate of two per minute. Each patient’s visit
consists of four steps: check in, record vital signs, receive treatment, and
check out. A receptionist takes 1 minute to check a patient in. A nurse takes 2
minutes to record the patient’s vital signs. A doctor spends 10 minutes with a
patient. A staff member takes 3 minutes to check a patient out. What is the
process capacity in patients per hour?
1. 60
2. 30
3. 20
4. 6
Capacity = 1/Processing time. Capacity at check in, record vital
signs, receive treatment, and check out is 1, 0.5, 0.1, and 0.3 patient per
minute respectively. The lowest capacity is the bottleneck and is Process
capacity = 0.1 patient per minute = 0.1 × 60 (minutes/hour) = 6 patients per
hour.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
43. Patients
are arriving at a clinic at a rate of two per minute. Each patient’s visit
consists of four steps: check in, record vital signs, receive treatment, and
check out. A receptionist takes 1 minute to check a patient in. A nurse takes 2
minutes to record the patient’s vital signs. A doctor spends 10 minutes with a
patient. A staff member takes 3 minutes to check a patient out. What is the
utilization of the checkout resource?
1. 100%
2. 33%
3. 20%
4. 10%
Capacity = 1/Processing time. Capacity at check in, record vital
signs, receive treatment, and check out is 1, 0.5, 0.1, and 0.3 patient per
minute respectively. The lowest capacity is the bottleneck and is Process
capacity = 0.1 patient per minute = 0.1 × 60 (minutes/hour) = 6 patients per
hour. Flow rate = Min(Demand, Process capacity) = Min(2, 0.1) = 0.1.
Utilization of checkout = Flow rate/Capacity of checkout = 0.1/0.3 = 33%.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
44. Patients
are arriving at a clinic at a rate of two per minute. Each patient’s visit
consists of four steps: check in, record vital signs, receive treatment, and
check out. A receptionist takes 1 minute to check a patient in. A nurse takes 2
minutes to record the patient’s vital signs. A doctor spends 10 minutes with a
patient. A staff member takes 3 minutes to check a patient out. What is the
cycle time of the process in minutes?
1. 10
2. 20
3. 30
4. Cannot
be determined
Capacity = 1/Processing time. Capacity at check in, record vital
signs, receive treatment, and check out is 1, 0.5, 0.1, and 0.3 patient per
minute respectively. The lowest capacity is the bottleneck and is Process
capacity = 0.1 patient per minute = 0.1 × 60 (minutes/hour) = 6 patients per
hour. Flow rate = Min(Demand, Process capacity) = Min(2, 0.1) = 0.1. Cycle time
= 1/Flow rate = 1/0.1 = 10 minutes.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
45. When
will the utilization of a bottleneck resource be less than 100%?
1. When
the process is capacity constrained
2. When
the process is demand constrained
3. When
demand is higher than process capacity
4. When
demand is equal to process capacity
A process that is demand constrained will have a flow rate less
than the bottleneck capacity, which means there is slack capacity at the
bottleneck resources causing a less than 100% utilization.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
46. The
capacity of a nonbottleneck resource is __________ the capacity of the process.
1. equal
to
2. smaller
than
3. larger
than
4. The
answer depends on the specific process under consideration.
A nonbottleneck resource has a higher capacity than the
bottleneck of the process.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
47. Job
candidates are leaving an office every 50 minutes. Each candidate goes through
three activities during the office visit: verification, written test, and
interview. Verification takes 1 minute, the written test takes 40 minutes, and
the interview takes 10 minutes. Assume there is only one resource dedicated to
each activity. What is the bottleneck capacity in candidates per hour?
1. 1.5
2. 1.2
3. 2.0
4. 2.5
Bottleneck capacity = Min(1, 1/40, 1/10) = 0.025 candidate per
minute or 1.5 candidates per hour.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Remember
Difficulty: 1 Easy
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
48. Job candidates
are leaving an office every 50 minutes. Each candidate goes through three
activities during the office visit: verification, written test, and interview.
Verification takes 1 minute, the written test takes 40 minutes, and the
interview takes 10 minutes. Assume there is only one resource dedicated to each
activity. Which of the following conclusions can be drawn?
1. The
process is capacity constrained.
2. The
process is demand constrained.
3. The
interview resource is the bottleneck.
4. The
process capacity is equal to the bottleneck capacity.
Process capacity = Min(1, 1/40, 1/10) = 0.025 candidate per
minute. Flow rate = 1/Cycle time = 1/50 = 0.02 candidate per minute. The
process is demand constrained because the flow rate is less than the process capacity.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
49. Job
candidates are leaving an office every 50 minutes. Each candidate goes through
three activities during the office visit: verification, written test, and
interview. Verification takes 1 minute, the written test takes 40 minutes, and
the interview takes 10 minutes. Assume there is only one resource dedicated to
each activity. What is the utilization of the bottleneck resource?
1. 100%
2. 80%
3. 20%
4. 2%
Cycle time = 50 minutes. Flow rate = 1/50 = 0.02 customer per
minute. Bottleneck capacity = Min(1, 1/40, 1/10) = 0.025 customer per minute.
Utilization of the bottleneck resource = Flow rate/Capacity = 0.02/0.025 = 80%.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
50. There
are four steps in the manufacturing process of a stuffed toy: cutting,
stuffing, sealing, and packaging. There are two employees each for cutting and
stuffing but one each for sealing and packaging. The processing times of
cutting, stuffing, sealing, and packaging are 8, 5, 3, and 2 seconds per toy.
What is the bottleneck in the process?
1. Cutting
2. Stuffing
3. Sealing
4. Packaging
Capacity = Number of workers/Processing time. Capacity = 2/8,
2/5, 1/3, and 1/2 for cutting, stuffing, sealing, and packaging. The bottleneck
is the lowest capacity = 2/8, which is cutting.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
51. There
are four steps in the manufacturing process of a stuffed toy: cutting,
stuffing, sealing, and packaging. There are two employees each for cutting and
stuffing but one each for sealing and packaging. The processing times of
cutting, stuffing, sealing, and packaging are 8, 5, 3, and 2 seconds per toy.
What is the capacity in toys per minute at the resource “stuffing”?
1. 24
2. 12
3. 0.4
4. 0.2
Capacity = Number of resources/Processing time = 2/5 toy per
second = 2/5 × 60 (seconds/minute) = 24 toys per minute.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
52. There
are four steps in the manufacturing process of a stuffed toy: cutting,
stuffing, sealing, and packaging. There are two employees each for cutting and
stuffing but one each for sealing and packaging. The processing times of
cutting, stuffing, sealing, and packaging are 8, 5, 3, and 2 seconds per toy.
What is the utilization at the “packaging” resource if demand is unlimited?
1. 100%
2. 75%
3. 63%
4. 50%
Capacity of packaging = 1/2. Process capacity = Min(2/8, 2/5,
1/3, 1/2) = 1/4. Flow rate = Min(Demand, Process capacity) = 1/4. Utilization =
Flow rate/Capacity = 0.25/0.5 = 50%.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-03 Determine the flow rate, the
utilization, and the cycle time of a process.
Topic: How to Analyze a Multistep Process and Locate the
Bottleneck
53. Students
are going through a three-step process to obtain their ID cards. Each student
will spend 2 minutes at the registration desk before going to one of three
cashiers to pay a fee for the card. After that, he/she will visit one of four
ID processing stations to have his/her picture taken and the ID card printed.
Registration takes 2 minutes. Visits to the cashier and ID processing station
take 10 and 20 minutes respectively. If the demand rate is 0.5 student per
minute, which of the following conclusions can be drawn if resources are
doubled at the processing station?
1. The
cashier station becomes the bottleneck.
2. There
will be no bottleneck in the process.
3. Registration
becomes the bottleneck.
4. The
processing station becomes the bottleneck.
Bottleneck capacity = Min(1/2, 3/10, 4/20) = 0.2 student per
minute at the processing station. If four additional ID stations are added,
Bottleneck capacity = Min(1/2, 3/10, 8/20) = 0.3 student per minute at the
cashier station.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Analyze
Difficulty: 3 Hard
Gradable: automatic
Learning Objective: 03-04 Find the bottleneck of a multi-step
process and determine its capacity.
Topic: The Time to Produce a Certain Quantity
54. There
are four steps in the manufacturing process of a stuffed toy: cutting,
stuffing, sealing, and packaging. There are two employees each for cutting and
stuffing but one each for sealing and packaging. The processing times of
cutting, stuffing, sealing, and packaging are 8, 5, 3, and 2 seconds per toy.
Assuming demand is unlimited, how long does it take (in seconds) to produce
2000 toys starting with an empty system?
1. 8028
2. 8014
3. 8000
4. 7996
Process capacity = Min(2/8, 2/5, 1/3, 1/2) = 1/4. Flow rate =
Min(Demand, Process capacity) = 1/4. Cycle time = 1/Flow rate = 1/0.25 = 4
seconds. Time to complete the first toy = 8 + 5 + 3 + 2 = 18 seconds. Time to
complete the remaining 1999 toys = 1999 × Cycle time = 1999 × 4 = 7996 seconds.
Time to make 2000 toys = 7996 + 18 seconds, or 8014 seconds.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-05 Determine how long it takes to produce
a certain order quantity.
Topic: The Time to Produce a Certain Quantity
55. There
are four steps in the manufacturing process of a stuffed toy: cutting,
stuffing, sealing, and packaging. There are two machines each for cutting and
stuffing but one each for sealing and packaging. The processing times of
cutting, stuffing, sealing, and packaging are 8, 5, 3, and 2 seconds per toy.
Assuming demand is unlimited, how long does it take (in seconds) to produce
2000 toys starting with a full system?
1. 8028
2. 8014
3. 8000
4. 7996
Process capacity = Min(2/8, 2/5, 1/3, 1/2) = 1/4. Flow rate =
Min(Demand, Process capacity) = 1/4. Cycle time = 1/Flow rate = 1/0.25 = 4
seconds. Time to complete 2000 toys = 4 × 2000 seconds, or 8000 seconds.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-05 Determine how long it takes to produce
a certain order quantity.
Topic: The Time to Produce a Certain Quantity
56. Students
are going through a three-step process to obtain their ID cards. Each student
will spend 2 minutes at the registration desk before going to one of three
cashiers to pay a fee for the ID card. After that, he/she will visit one of
four ID processing stations to have his/her picture taken and ID card printed.
Visits to the cashier and ID processing station take 10 and 20 minutes
respectively. If the demand rate is 0.125 student per minute, how long does it
take to process 20 students assuming the system is full?
1. 100
minutes
2. 152
minutes
3. 160
minutes
4. 184
minutes
Process capacity = Min(1/2, 3/10, 4/20) = 0.2 student per
minute. Flow rate = Min(Demand, Process capacity) = Min(0.125, 0.2) = 0.125
student per minute. Cycle time = 1/Flow rate = 1/0.125 = 8 minutes. Time to
process 20 students = 20 × 8 = 160 minutes.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-05 Determine how long it takes to produce
a certain order quantity.
Topic: The Time to Produce a Certain Quantity
57. Students
are going through a three-step process to obtain their ID cards. Each student
will spend 2 minutes at the registration desk before going to one of three
cashiers to pay a fee for the ID card. After that, he/she will visit one of
four ID processing stations to have his/her picture taken and ID card printed.
Visits to the cashier and ID processing station take 10 and 20 minutes
respectively. If the demand rate is 0.125 student per minute, how long does it
take to process 20 students assuming the system is empty?
1. 100
minutes
2. 152
minutes
3. 160
minutes
4. 184
minutes
Process capacity = Min(1/2, 3/10, 4/20) = 0.2 student per
minute. Flow rate = Min(Demand, Process capacity) = Min(0.125, 0.2) = 0.125
student per minute. Cycle time = 1/Flow rate = 1/0.125 = 8 minutes. Time to
process the first student = 2 + 10 + 20 = 32 minutes. Time to process 20
students = (19 × 8) + 32 = 184 minutes.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-05 Determine how long it takes to produce
a certain order quantity.
Topic: The Time to Produce a Certain Quantity
58. Students
are going through a three-step process to obtain their ID cards. Each student
will spend 2 minutes at the registration desk before going to one of three
cashiers to pay a fee for the ID card. After that, he/she will visit one of
four ID processing stations to have his/her picture taken and ID card printed.
Visits to the cashier and ID processing station take 10 and 20 minutes
respectively. If the demand rate is 0.5 student per minute, how long does it
take to process 20 students assuming the system is empty?
1. 95
minutes
2. 100
minutes
3. 127
minutes
4. 160
minutes
Process capacity = Min(1/2, 3/10, 4/20) = 0.2 student per
minute. Flow rate = Min(Demand, Process capacity) = Min(0.5, 0.2) = 0.2 student
per minute. Cycle time = 1/Flow rate = 1/0.2 = 5 minutes. Time to process the
first student = 2 + 10 + 20 = 32 minutes. Time to process 20 students = (19 ×
5) + 32 = 127 minutes.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-05 Determine how long it takes to produce
a certain order quantity.
Topic: The Time to Produce a Certain Quantity
59. Students
are going through a three-step process to obtain their ID cards. Each student
will spend 2 minutes at the registration desk before going to one of three
cashiers to pay a fee for the ID card. After that, he/she will visit one of
four ID processing stations to have his/her picture taken and ID card printed.
Visits to the cashier and ID processing station take 10 and 20 minutes
respectively. If the demand rate is 0.5 student per minute, how long does it
take to process 20 students assuming the system is full?
1. 95
minutes
2. 100
minutes
3. 127
minutes
4. 160
minutes
Process capacity = Min(1/2, 3/10, 4/20) = 0.2 student per
minute. Flow rate = Min(Demand, Process capacity) = Min(0.5, 0.2) = 0.2 student
per minute. Cycle time = 1/Flow rate = 1/0.2 = 5 minutes. Time to process 20
students = 20 × 5 = 100 minutes.
AACSB: Analytical Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-05 Determine how long it takes to produce
a certain order quantity.
Topic: The Time to Produce a Certain Quantity
60. Every
student who wishes to enter the public library at Hotel de Ville (HdV) in the
center of Paris, needs to go through the following steps:
1. Show
your ID to one of the two guards at the entrance of the HdV building—20 seconds
2. Have
your bag go through the metal detector—30 seconds
3. Give
your ID card to the ground floor desk clerk, who will give you in exchange a
magnetic badge—1 minute
4. Take
the stairs up to the fourth floor of the building, where the library is
located—2 minutes (Note: multiple people can be on the stairs at the same time)
5. Show
your badge to one of the two desk clerks at the library entrance to have your
badge number archived—30 seconds
6. Enter
the library and get assigned to a numbered seat by one of the two librarians—40
seconds
When the library opens at 9 a.m., there is usually a very long
queue of people waiting to get in. How long does it take for the 25 seats in
the library to be occupied (assuming there are at least 25 people in the
queue)?
1. 9
minutes
2. 18
minutes
3. 29 minutes
4. 45
minutes
Use the “Time to finish X units
starting with an empty system” equation: The first customer requires 20 + 30 +
60 + 120 + 30 + 40 = 300 seconds, or 5 minutes. Cycle time after that is based
on the bottleneck, step 3, at 1 minute. 24 × 1 = 24 minutes for the remaining
24 seats. Total time is 5 + 24 = 29 minutes.
AACSB: Reflective Thinking
Accessibility: Keyboard Navigation
Blooms: Understand
Difficulty: 2 Medium
Gradable: automatic
Learning Objective: 03-05 Determine how long it takes to produce
a certain order quantity.
Topic: The Time to Produce a Certain Quantity
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