Case 1 Economic at Buick-D-2023-v9 (5)
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EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
EECS 352 – Engineering Economics and Decision Analysis
A-17- Revised 11/1/23-Type D
Professor Malakooti
Case Study Term Project General Instructions (25% of Total Grade)
Submit Word-file to Canvas with Embedded Excel Objects
This project must be done by each student. Any copying from any other source will
result in getting an F in this course and other severe penalties.
Please respond to all questions.
The Report for Each Model and Each Question of the Case Study
It is important to write a good report, in particular state your problem very clearly and
give a brief background and rational of the problem. Describe the development of your
model/solution step-by-step, along with any assumption you make. Display the results in
suitable forms and discuss your analysis of results along with your conclusions and
recommendations.
Answer the questions posed and follow the hints and suggestions given.
The final report should be prepared promptly. It should consist of the following sections
and details:
Introduction---provide a brief background of the case, and present a crisp
problem statement and the objective of the study—what questions you are
trying to answer? For what purpose? And so on.
A. Solution Strategy from Engineering Economics point of view:—describe
the approach you are using to carry out and organize your study and the
assumptions you are making (make these very clear). You will most likely
develop/adopt a cash flow model—show in some reasonable detail how the
individual cash flows are generated and integrated.
B. Solution Strategy from Decision Making and Risk point of view:—describe
the approach you are using to carry out and organize your study and the
assumptions you are making (make these very clear). You will most likely
develop/adopt at least two decision scenarios (alternatives) where each
alternative will have at least two criteria and incorporates risk analysis. You
may need to assume some information (data) for Part B.
Results—Include all EXCEL printouts in the appendix but do a good
summary analysis of your computer results in this section. Please use hide
rows, or hide column (to hide the middle part of a long and large sheet), or
“fit-in-one-page” feature to print one sheet in one page.),
Conclusion and recommendations—take your computer results one step
further by making relevant interpretation of those results
o
to answer the study questions that you pose in the introduction
section and
o
to try to fully accomplish your study objective.
1
EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
This should include a recommendation of what choice to take and the
reasoning/justification behind your recommendation.
Generate an Excel sheet for each analysis using the exact format of the
template shown in the Appendix (displayed at the end of this document).
The format of the report should be as following.
Introduction including the background, rational and statement of the problem
Model description: a complete detail of the mathematical model showing the
decision variables, the objective function, and constraints. For each key relation, a
short description should be given.
Result and Analysis: summary description of results and answer to questions
including all sensitivity analysis as appropriate.
Conclusions and recommendations
Appendix A: computer outputs.
Appendix B: computer codes (if any).
Appendix C: table of coefficients (if any).
Appendix D: Extra Credit (Provide Your Suggestions for Improving this Case Study; you
may also provide appropriate data for your suggested questions).
YouTube links
.
The following links should help you visualize how the Sheet Molding Compound (SMC)
Process works.
1-
https://www.youtube.com/watch?v=dDv0hD2ooGs
2-
https://www.youtube.com/watch?v=e4Nm0jzpu7o
Preview YouTube video SMC Manhole Covers-Zhejiang Resin Municipal Facility Co.,
2
EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
Preview YouTube video Moulage Des SMC Haute pression
3
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EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
Economic Analysis of a Modified Conveyor System
at Buick-Oldsmobile-Cadillac
Concepts illustrated:
Payback period, present worth analysis, rate of return analysis,
depreciation, and development of project cash flows.
Required Readings:
Text Book and Handouts of Professor Malakooti
______________________
1.
Background
The Buick-Oldsmobile-Cadillac (BOC) plant in Lansing, Michigan, is involved in the fabrication
and assembly of the Olds Calais, Buick Somerset Regal, and Pontiac Grand Am. A small part of
the total operation is the sheet molding compound (SMC) area where plastic parts are formed
from sheets of plastic material. Front-end panels (the front part of the car where the lights are
housed) are produced here, and a conveyor system is used to transport the panels after they are
formed. This case study examines an economic justification analysis for a proposed modification
of the conveyor system that would decrease the number of workers needed while improving
quality and facilitating material flow.
2.
Description of Present SMC Prime and Finish Process
The SMC prime and finish operation starts on the first floor with stud drivers as shown in Fig 3.1.
______________________________________________________________________
© 2001 by Chan S. Park, Department of Industrial & Systems Engineering, Auburn University - This case
is developed for classroom use only.
4
EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
Here a machine screws a two-ended bolt into each front end panel so that it can be attached to the
car later. The conveyor then moves the panels upstairs where they are washed and primed. Next,
the conveyor moves the panels through an oven to heat-treat the prime coating and then returns
them to the first floor. An inspector checks each panel for pits and defects and marks them for the
pit filler, who uses compound to fill in the defects. The compound must dry before it is sanded
(the next operation), but the current setup does not allow sufficient room for this to happen every
time. After the panel is sanded down, it travels up to the second floor again, where it is inspected
for any major repairs that must be made. If repairs are needed, the panel is taken of the conveyor;
otherwise, it moves on to the washer, where any dust and debris is removed. The conveyor then
moves the panel up to the third floor to the second prime spray booth and back down to the
second floor, where it is processed through an oven.
The panel is inspected again, and the pit fill and sand operations are performed as necessary.
Again, the area currently allocated to this operation does not always allow the compound enough
time to dry. The conveyor moves the panels to final inspection and to the packing area. Once the
panels are packed, they must be moved via elevator to the first floor, where the shipping docks
are located. There is only one elevator, and if it malfunctions, there is no way to transport the
parts to the first floor.
The existing system is producing good quality front-end panels, but the current arrangement
requires that the conveyor travel frequently between three floors and separates two similar
operations, requiring two supervisors.
The finished and packed parts must also be moved from the second floor packing area down to
the first floor with an elevator. In addition, the repair and maintenance for the conveyor system
will require an estimated $180,000 in the upcoming year alone in order to keep it in operable
condition. Projected maintenance costs for later years are unavailable but they are estimated to be
around $100,000 per year.
3
The Proposed System
The proposed system would be a modification of the current prime and finish conveyor system. It
would reduce the number of trips made between floors, use just one supervisor to oversee similar
operations, eliminate the need for the elevator, and reduce the number of employees needed for
the prime and finish operation.
The proposed system under would still be used to move the panels along a specified route while
different operations are performed on them. The major change is that almost all of the major
operations would be performed on the second floor as shown in Figure 3.2.
The areas needed for
the two pit fill and sanding operations would be located in the same general area, thus requiring
only one supervisor; the result should be better control of and more uniform standards for those
operations. There would be more room between the pit filling station and the sanding operation so
the compound would have an adequate amount of time to dry, resulting in better quality.
A sanding station for hood line sanding would be added after the stud driver machines in the
proposed process. (The hood line is where the front-end panel meets the hood of the car an area
very visible to the consumer.) In an effort to improve quality, it has been determined that this job
should receive careful attention and be performed before the initial priming process.
5
EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
The inspectors associated with the pit filling operations would be eliminated in the proposed
process, leaving that job to the pit fillers themselves. The major repair area would be relocated so
that it would be near the final inspection point and repaired parts could easily be sent through the
second priming station again. After the final inspection, the conveyor would carry the panels
down to the first floor to be packed and shipped. This would completely eliminate the need for
the elevator and facilitate a steady material flow.
The proposed system would be designed and built to satisfy ergonomic considerations. So jobs
would be easier to perform, and the number of required employees would be reduced. Also, the
inspection stations would be minimized, which would further reduce the total number of
employees needed for the prime and finish operation. The question is, will the savings that would
be derived from the reduction in labor justify the cost of the proposed system?
3.1
Site preparation
Before installation of the new system, the old equipment must be removed, rearranged, and
painted. This site preparation would be done by the in house staff at the cost of $320,150. The
firm could elect to expense the preparation cost at the time the new system is installed. Some of
the existing machines would be relocated, but all would be retained in the new system; thus there
would be no replacement of equipment.
3.2
Cost of New Equipment
The proposed system requires a new conveyor, a drive, and a new sanding machine to be located
near the first prime area. The cost for purchasing and installing the new equipment is estimated at
$568,100. (The installation would take place during the regularly scheduled plant maintenance
6
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EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
period, so that no shut down costs are expected.) It also requires an increase in net working
capital, costing $80750. This additional working capital must be considered part of the initial net
cash outlay, but it can be recovered in full at the time of project closing. The economic life of this
new system is not precisely known, but the firm's past experience with this type of equipment
indicates that the system has about 10 years of useful life, even though the physical life could
easily extend almost 20 years with proper maintenance.
Since automobile models are changing from a conventional to a more aerodynamic look,
however, the BOC plant is planning to install an entirely new system within 5 years. Therefore,
BOC management would not expect the modified system to serve more than 5 years if installed.
The purchased equipment falls in the 7-year MACRS category, with no investment tax credit
allowed. The depreciation for each year over the study period is calculated as follows:
Year
Depreciation base
MACRS rate
Depreciation
1
$568,100
0.1429
$
81,181
2
$568,100
0.2449
$139,128
3
$568,100
0.1749
$99,361
4
$568,100
0.1249
$
70,956
5
$568,100
0.0892
$
50,675
Total
$441,300
This adds up to $441,300, leaving a book value of $126,800 at the end of 5 years.
The salvage value of this system after 5 years is also in question, but it is estimated that the value
of the scrap and used parts taken o_ the system at the end of 5 years would not be large enough to
offset the cost of dismantling and scrapping the system, resulting in a negative salvage value of
about $79,800.
3.3
Expected Cash Savings
The savings involved in this project will come from the reduction of 17 employees from the
process. These employees will all be hourly production workers working one of three shifts (day,
afternoon, or midnight).
The BOC plant uses an average figure for employee wages when computing the cost associated
with workers. This figure, the average annual straight time and overtime cost, is $47,244/year for
hourly production workers. We thus find an annual savings of
(17employees)
($47,244/employee/year) = $803,141/year:
3.4
Operating and Maintenance Costs
The additional operating and maintenance costs associated with the modified system are
estimated to be
Year
Additional O&M costs
1
$18,174
2
$16,958
3
$18,454
4
$31,421
5
$21,446
The increased costs are primarily due to additional power requirements in the sanding operation.
The trend in operating costs over the project years reflects the inclusion of an allowance for start-
7
EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
up inefficiencies in the first year, cash expenditures for overhauling expenses in the fourth year,
and a gradual loss of operating efficiency thereafter.
3.5
Other Considerations
Another factor for the BOC to consider at this time is the alternative uses for funds. The BOC has
sufficient funds to modify the current operating system; however there are other ways these funds
could be used. The other projects the management is considering at this time have an estimated
return of at least 15% after taxes. This implies that the BOC's MARR would be 15%. (The
marginal income tax rate at present is 40% and no change in this rate is expected.)
3.6 Basic Analysis Questions
For basic – engineering economics problem provide your solution and analysis.
Determine the project cash
flows for the 5-year life of the proposed conveyor system. Then determine the followings.
I.
Question for Phase I (By Tuesday Before Thanksgiving)
4.
If then questions
Issues for Considerations in this Case Study (You
must show the use of Excel, e.g. see An Example in the last page):
4.1
Determine the project cash flows for the 5-year life of the proposed conveyor system. Then determine
the expected internal rate of return and decide whether the project is economically viable.
Also,
determine when would be the earliest year that the BOC can revamp the system and the project
would
still be a good investment.
4.2
Suppose that, to install the proposed conveyor system, there would be a
2-day's of plant
shut-down. This translates into a cost of $350,000 in
lost production. How should this shut-
down cost be considered in the
analysis?
4.3
Suppose that there is no place to accommodate the 17 workers in the
plant and they must let
go. This action would lead to paying $200,000
for severance. How would this payment
affect the profitability of the
investment?
4.4
(
Extra 5 Credit out of 100 for Phase I for inflation)
Recall that the annual savings figures
based on displacing 17 workers
were assumed to remain unchanged over the years. Suppose
that the
wages would increase at the annual rate of 7% over the years, due to
inflation. The
annual O&M cost would also increase at the annual
rate of 6%. The general inflation rate is
expected about 5% per year
during the project period. How does this scenario of inflation
affect
the profitability of the investment?
8
EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
II.
Question for Phase II (By the End of Semester Given Deadline)
5.
Risk and Sensitivity Analysis Scenario
5.a (Probability distribution Problem) For question 4, part 4 (only), assume that managers are not
confident about the estimation of the rates of wage increase, the annual O&M cost, and
general inflation, but there is an agreement that these rates are discrete random variables and
statistically independent. Each rate is described by the following probability distributions.
Wage increase
rate
Probability
Annual O&M cost
increase rate
Probability
General
Inflation
rate
Probability
1%
0.05
2%
0.25
3%
0.20
3%
0.10
4%
0.25
4%
0.25
5%
0.20
6%
0.25
5%
0.40
7%
0.40
8%
0.25
6%
0.15
9%
0.25
Sum
1
Sum
1
Sum
1
5.1.
Use expected value for this case. Now, determine the project cash flows based on this
scenario for the proposed conveyor system
5.2.
Sensitivity Analysis
: Using information given in part 5.a (Given Problem),:
a.
Perform break-even analysis.
b.
Perform at 10% level of pessimistic and optimistic sensitivity analysis. Hint: Assume
life is fixed at five years and inflation is also fixed as given, but increase all
expenditures and costs by 10% for pessimistic and decrease all expenditures costs by
10% for optimistic.
Hint 1: for the next 3 questions:
In risk models of mean variance and GDT we maximize EV values of gains (higher values
are better), but in this case study EVs are costs. Then you should assign EV values as
negatives. For example, if in this case study, EV = 100, this means that the expected value in
terms of cost is 100; therefore, you should use -100 as the EV but Standard Deviation and
GD and XD values are always positive because they present variations.
Hint 2: for the next 3 questions:
You can use the embedded objects in Handout of Risk (by Dr. Malakooti) to calculate SD,
GD , and XD if you want. Or simply calculate them directly yourself.
5.3.
Mean Variance Analysis.
Consider probability distribution information given in 5.a. You
can find expected value and standard deviation and then provide analysis using mean and
variance approach.
For mean-variance, utility function is: U
SD
=
EV+z*SD, consider risk
averse case of z= -0.66 and risk prone case of z= +0.33 for your analysis; what do the
solutions mean?
How these solutions relate to the above pessimistic and optimistic solutions
of Section 5.2.b. Which one do you recommend using considering risk analysis?
5.4.
Risk Averse Geometric-Dispersion Theory (GDT) Analysis
. For RA-Geometric-
Dispersion Theory (GDT), utility function is,
U
GD
=
EV+z*GD, where
9
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EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
GD =
EV – GV
i
k
k
p
i
i
i
i=1
i=1
(
p y
(y
)
)
Consider risk averse case of z= -0.66; what does the solution mean? How it compares to and
is related to the pessimistic scenario (above Question of 5.2 ) and to mean-variance (above
Question 5.3).
Hint:
For this problem, it may be easier to normalize all cost values from 0.01 to 0.99, then
use Φ = 0 .Note that when you normalize the highest cost will be 0.01 and the lowest cost
will be 0.99. (Alternatively, you may assess Φ
and Φ
X
based on the given heuristic of one per
cent for the range).
5.5.
(Extra 5 credit: Asymmetric (Mixed) Risk Averse/Risk Prone Geometric-Dispersion
Theory (GDT) Analysis).
Use both Geometric-Deviation (GD) for risk averse and X-
Geometric-Deviation (X-GD) for risk prone. Suppose that the Decision Maker is 66% risk
averse and 33% risk prone using z = -0.66 and z
X
=+0.33. Explain how this solution
compares to above pessimistic and optimistic approaches
(Question
5.2.b), above
mean-
variance, and above risk-averse using GD.
How useful is considering asymmetric GDT
using GD and XD vs. symmetric mean-variance using SD.
For assessment purposes, Φ < y < Φ
X
in the GDT model covered in handout.
Therefore, XV
can be written as:
Φ
¿
(
¿
X
−
y
i
¿¿
p
i
)−
EV
¿
Φ
X
−
∏
i
=
1
k
¿
XD
=
¿
(XD based on the upper limit Φ
X
)
Hint:
For this problem, it may be easier to normalize all cost values from 0.01 to 0.99, then
use Φ =0 and Φ
X
= 1. Note that when you normalize the highest cost will be 0.01 and the
lowest cost will be 0.99. Alternatively, you may assess Φ
and Φ
X
based on the heuristic given
one present higher than the highest payoff.
6. Bi-Criteria Analysis Scenario
Suppose that there are three possible design approach for this problem.
Design Approach 1:
Suppose that in the above case study we have found the total present value
cost to be $140,000,000 (the lower cost is better); but we believe that the reliability of this
systems in terms substantial breakdowns to be 4.24 on a 0 to 10 rating (the higher the better)
Design Approach 2:
Suppose that we can have better design where total present value cost is
$190,000,000 (the lower cost is better); the reliability is substantially better, 7.25, on a 0 to 10
rating (the higher the better)
Design Approach 3:
Suppose that we can have a worse design where total present value cost is
$110,000,000 (the lower cost is better); the reliability is, 1.25, on a 0 to 10 rating (the higher the
better).
10
EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
Table below shows these three alternatives.
Design Approach
1 (Normal)
2 (More cost)
3 (Less cost)
Objective 1: Total
cost of project
$160,000,000
$190,000,000
$110,000,000
Objective 2: Given
Reliability of Design;
0 is the worst and 10
is the best
4.25
7.75
1.25
Apply the concepts that you have learned about solving multiple criteria (attribute) decision
making for these three alternatives.
Respond:
1.
Any of them is inefficient
2.
Justify choosing only one of
non-compensatory methods of Ch. 14 of your text book
(e.g. satisficing or lexicographic ordering etc. …), then apply it using your own
judgment/preferences.
3.
Use the compensatory Ch. 14 of your text book (the weighting approach),
use weights of
importance for the two objectives (criteria) as 0.7 and 0.3, respectively
; i.e.
w
1
= 0.7
and w
2
= 0.3;
then rank them. (Hint: you must first normalize values and convert them
for maximization problem for both criteria) , do agree or disagree with basic assumption
of this method; do agree with the best solution using this method.
4.
Graphically present the normalized values of this problem (based on Part 3) in terms of
criteria 1 vs. criteria 2, and show the utility contours solution of part 3 graphically.
5.
Extra 5 Credit out of 100 for Phase II Using MCDM:
Use MCDM-GDT model (also
called Z Utility Theory) for solving MCDM method to analyze the solutions, you can use
the same weights that you used in part 3; use
z = -0.7 value; rank alternatives, do you
agree with the best ranked solution, why or why not? Hint: you can choose your own z
from -1 to 0, and compared to the above given z = -0.7 .
11
EECS 352: Eng. Economics
Term Project Case Study Professor Malakooti
Appendix: Excel Template to Be Created For Each Part of Case Study
After-tax Cash Flow for Part
1
Income Statement
Year
0
1
2
3
4
5
Cash savings
Expenses
Site Preparation
O&M
Depreciation
Taxable Income
Income taxes (40%)
Net Income
Cash Flow Statement
Operating Activities
Net Income
Depreciation
Investment Activities
Initial Investment
Working capital
Salvage
Gains tax
Financing Activities (none)
After-tax cash flow (ATCF)
IRR
Project Balance
PB
n
(15%)
Note: Site preparation expenses are tax deductible and could be fully expensed at the time that they occur.
Spread Sheet of Solver for GDT:
Ch.5-Ex.4.8.xls
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