Located alongside a cobblestoned street in Old City, Old
City Photographics (OCP) specializes in the processing of the traditional 35mm
negative film, a once dominant photographic medium now in decline due to the
popularity of digital photography. OCP
offers three packages to their customers.
With the standard package, the customer gets a set of 6×4 prints for
$19.99. The deluxe package adds to the
standard package a CD-ROM of high resolution scans of the pictures for
$29.99. Finally, the $39.99 pro package
is similar to the deluxe package in that it comes with a CD-ROM, although the
customer gets a contact print rather than a set of prints. (A contact print is an 8×10 sheet of
photographic paper that has all pictures on the roll of film printed next to
each other at reduced dimensions and is used as an index.) The workflow for OCP is shown below
(s=standard, d=deluxe, p=pro):
.jpg” alt=”OPC pfd”>
OCP is operated by one person at every station.
i) On average,
OCP receive 13 jobs per hour consisted of 44% standard, 37% deluxe and 19%
pro. Which of the following statement
best describes OCPs process? Show the work necessary to justify your answer.
a. The
process is demand-constrained
b. The
process is capacity-constrained and process film is the bottleneck
c. The
process is capacity-constrained and scan film is the bottleneck
d. The
process is capacity-constrained and make 6×4 prints is the bottleneck
e. The
process is capacity-constrained and make contact print is the bottleneck
ii) What is the
implied utilization (ratio of workload relative to capacity) at Scan Film.
Show the work necessary to justify your answer.
a.
less than 50%
b.
50% to 60%
c.
60% to 70%
d.
80% to 90%
e.
90% to 100%
f.
more than 100%
iii) Fixing the
relative proportions of job types, what is the largest number of jobs per hour
that OCP can handle? Circle the answer
closest to the correct answer. Show the work necessary to justify your answer.
a. 10
b. 11
c. 12
d. 13
e. 14
f. 15
g. 16
h. 17
i.
18
2) 10 points
Imagine US is a startup that offers high definition 3D prenatal
ultrasounds for high-end customers. The service process includes five
activities that are conducted in the sequence described below. (The time
required for each activity is shown in parentheses):
Activity 1: Welcome a patient and explain the
procedure. (8 minutes)
Activity 2: Prep the patient (e.g., show them to the
room, apply ultrasound gel). (5
minutes)
Activity 3: Take images. (14 minutes)
Activity 4: Analyze images. (12 minutes)
Activity 5: Discuss diagnostic with patient. (16
minutes)
At each location there are employees (servers) S1, S2, and S3. The
assignment of tasks to servers is the following:
S1 does Activity 1.
S2 does Activities 2 and 3.
S3 does Activities 4 and Activity 5.
What is the capacity of this process (in customers per hour)?
Suppose 2 patients arrive every
hour on average. Ignoring any start of
day or end of day effects, what is the utilization of Server 1 (as a %)?
Now suppose each activity can be assigned to more than one
server, each activity can be done by any server and any server can do any set
of activities. What is the maximum
capacity of the process (in customers
per hour)?

3) 10 points
A customer wants delivery to be ensured between 10 am and 2 pm. Your truck leaves the factory at 4 am and the
time taken to reach the customer is normally distributed with an average of 8
hrs and a standard deviation of 1 hr.
(a)
What is the process capability ratio of the process?

0.67

0.50

1.00

2.00

None of the above
(b) What specific action(s) (in terms of mean and standard
deviation targets to be achieved) would you take to improve the ability of the
delivery process to be a 6-s process (capability ratio of 2)?
Target mean =
Target standard deviation =
4) 10 points
a) Considerthefollowing
two-?stepprocess.StepAhasaprocessingtimeof1minute
perunit,butnosetupisrequired.
StepBhasprocessingtimeof0.1minutesperunit,butasetuptimeof9minutesisrequiredperbatch.
Supposeunitsareproduced
inbatchesof15(i.e.,aftereachsetof15unitsareproduced,
StepBmustincurasetupof9minutes).Whatisthecapacity
oftheprocess
(inunitsperminute)?
What isthe batch size that
maximizesthe flowrate of this process withminimal
inventory?Assume
thereisampledemand
b)
Considerasimpleprocess
thatmakestwokindsofshakes:strawberry
andbanana.Demandforstrawberryshakesis10gallonsperhour,whiledemandforbananashakes
is7.5gallonsperhour.Switching fromonetypeofshaketoanother
requires30minutes
tocleantheproductionequipmentsothatone
flavor does not disruptthe flavor
ofthe next shake. Once productionbegins,theprocess
canmake30gallonsperhourofeithertypeofshake.Given
theseparameters,pleaseevaluate
aproductioncyclethatminimizesinventorywhilesatisfyingdemand.
Howmuchshake ( batch size)isproduced
intotaloverthecourseofoneproduction
cycle(ingallons)?
Howmuchstrawberryshakeisproducedinoneproduction
cycle(ingallons)
5) 10 points
Tasty Tims is a specialty taco restaurant. The following
tasks are required for the successful assembly of a Tasty taco (times are in
seconds per taco):
Chop and trim meat 30
Chop vegetables 20
Grill meat 240
Grill vegetables 180
Prepare toppings
Lettuce -? 10
Tomato -? 15
Guacamole -?
40
Assemble taco
Add meat -? 5
Add vegetables -?
5
Add cheese -?
5
Add toppings -? 10
Wrap taco -? 20
During the lunch hour, Tasty Tims encounters demand for 120
tacos.
What is the labor content of one of Tasty Tims tacos?
What is the takt(cycle) time for Tasty
Tims taco shop?
How many workers should Tim hire to make tacos? Ignore any
effects of idle time or inefficiency due to poor line balancing.

During off-?peak
afternoon hours, demand at Tasty Tims drops to 40 tacos each hour. How many employees
should Tim schedule to work during the afternoon? Again, ignore any effects of
idle time or inefficiency due to poor line balancing.

Located alongside a cobblestoned street in Old City, Old
City Photographics (OCP) specializes in the processing of the traditional 35mm
negative film, a once dominant photographic medium now in decline due to the
popularity of digital photography. OCP
offers three packages to their customers.
With the standard package, the customer gets a set of 6×4 prints for
$19.99. The deluxe package adds to the
standard package a CD-ROM of high resolution scans of the pictures for
$29.99. Finally, the $39.99 pro package
is similar to the deluxe package in that it comes with a CD-ROM, although the
customer gets a contact print rather than a set of prints. (A contact print is an 8×10 sheet of
photographic paper that has all pictures on the roll of film printed next to
each other at reduced dimensions and is used as an index.) The workflow for OCP is shown below
(s=standard, d=deluxe, p=pro):.jpg” alt=”OPC pfd”>OCP is operated by one person at every station.i) On average,
OCP receive 13 jobs per hour consisted of 44% standard, 37% deluxe and 19%
pro. Which of the following statement
best describes OCPs process? Show the work necessary to justify your answer.a. The
process is demand-constrainedb. The
process is capacity-constrained and process film is the bottleneckc. The
process is capacity-constrained and scan film is the bottleneckd. The
process is capacity-constrained and make 6×4 prints is the bottlenecke. The
process is capacity-constrained and make contact print is the bottleneckii) What is the
implied utilization (ratio of workload relative to capacity) at Scan Film.
Show the work necessary to justify your answer.a.
less than 50%b.
50% to 60%c.
60% to 70%d.
80% to 90%e.
90% to 100%f.
more than 100%iii) Fixing the
relative proportions of job types, what is the largest number of jobs per hour
that OCP can handle? Circle the answer
closest to the correct answer. Show the work necessary to justify your answer.a. 10b. 11c. 12d. 13e. 14f. 15g. 16h. 17i.
182) 10 pointsImagine US is a startup that offers high definition 3D prenatal
ultrasounds for high-end customers. The service process includes five
activities that are conducted in the sequence described below. (The time
required for each activity is shown in parentheses):Activity 1: Welcome a patient and explain the
procedure. (8 minutes)Activity 2: Prep the patient (e.g., show them to the
room, apply ultrasound gel). (5
minutes)Activity 3: Take images. (14 minutes)Activity 4: Analyze images. (12 minutes)Activity 5: Discuss diagnostic with patient. (16
minutes)At each location there are employees (servers) S1, S2, and S3. The
assignment of tasks to servers is the following:S1 does Activity 1.S2 does Activities 2 and 3.S3 does Activities 4 and Activity 5.What is the capacity of this process (in customers per hour)?Suppose 2 patients arrive every
hour on average. Ignoring any start of
day or end of day effects, what is the utilization of Server 1 (as a %)?Now suppose each activity can be assigned to more than one
server, each activity can be done by any server and any server can do any set
of activities. What is the maximum
capacity of the process (in customers
per hour)?3) 10 pointsA customer wants delivery to be ensured between 10 am and 2 pm. Your truck leaves the factory at 4 am and the
time taken to reach the customer is normally distributed with an average of 8
hrs and a standard deviation of 1 hr. (a)
What is the process capability ratio of the process?
0.67
0.50
1.00
2.00
None of the above(b) What specific action(s) (in terms of mean and standard
deviation targets to be achieved) would you take to improve the ability of the
delivery process to be a 6-s process (capability ratio of 2)? Target mean = Target standard deviation =4) 10 pointsa) Considerthefollowing
two-?stepprocess.StepAhasaprocessingtimeof1minute
perunit,butnosetupisrequired.
StepBhasprocessingtimeof0.1minutesperunit,butasetuptimeof9minutesisrequiredperbatch.Supposeunitsareproduced
inbatchesof15(i.e.,aftereachsetof15unitsareproduced,
StepBmustincurasetupof9minutes).Whatisthecapacity
oftheprocess
(inunitsperminute)?What isthe batch size that
maximizesthe flowrate of this process withminimal
inventory?Assume
thereisampledemandb)
Considerasimpleprocess
thatmakestwokindsofshakes:strawberry
andbanana.Demandforstrawberryshakesis10gallonsperhour,whiledemandforbananashakes
is7.5gallonsperhour.Switching fromonetypeofshaketoanother
requires30minutes
tocleantheproductionequipmentsothatone
flavor does not disruptthe flavor
ofthe next shake. Once productionbegins,theprocess
canmake30gallonsperhourofeithertypeofshake.Given
theseparameters,pleaseevaluate
aproductioncyclethatminimizesinventorywhilesatisfyingdemand.Howmuchshake ( batch size)isproduced
intotaloverthecourseofoneproduction
cycle(ingallons)?Howmuchstrawberryshakeisproducedinoneproduction
cycle(ingallons)5) 10 pointsTasty Tims is a specialty taco restaurant. The following
tasks are required for the successful assembly of a Tasty taco (times are in
seconds per taco):Chop and trim meat 30Chop vegetables 20Grill meat 240Grill vegetables 180Prepare toppingsLettuce -? 10Tomato -? 15 Guacamole -?
40Assemble tacoAdd meat -? 5 Add vegetables -?
5 Add cheese -?
5Add toppings -? 10Wrap taco -? 20During the lunch hour, Tasty Tims encounters demand for 120
tacos.What is the labor content of one of Tasty Tims tacos?What is the takt(cycle) time for Tasty
Tims taco shop?How many workers should Tim hire to make tacos? Ignore any
effects of idle time or inefficiency due to poor line balancing.During off-?peak
afternoon hours, demand at Tasty Tims drops to 40 tacos each hour. How many employees
should Tim schedule to work during the afternoon? Again, ignore any effects of
idle time or inefficiency due to poor line balancing.