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Project Paper Assignment (Linear Programming Models) Page 1 of 2 This is a ch

Project Paper Assignment (Linear Programming Models) Page 1 of 2 This is a ch

Project Paper Assignment (Linear Programming Models) Page
1 of 2

This
is a chance to perhaps incorporate some of your experience, interests, and
career business/management goals and ambitions within the context of an
individual project paper. I want you to make-up
your own problem and apply the linear programming tools and techniques we have
been learning (Chapters 7 and 8). So you
do not need to use real data here; instead, a reasonable and plausible
objective function and constraints will suffice.

Pretend
I am your boss or your client (i.e., you are a consultant). So I expect this paper to be 100% professional (neat, typed,
error-free, descriptive, easy for me to read and follow, etc.) in nature. You are in college and, for most of you,
English is your native language; that should be reflected in the quality of
your writing (spelling, punctuation, grammar, etc.). At this point in your life and academic
career this is assumed; i.e., you get
no credit for writing at an acceptable level… instead, you incur severe
sanctions if you do not.

Your
problem will have exactly two variables (an X1 and an X2) and will incorporate a maximization
(either profit or revenue) objective.
You will include at least four constraints (not including the X1? 0
and X2 ?
0 [i.e., the Non-negativity or Duh!]
constraints). At least one of these four
must be a ? constraint, and at least one other must be a ? constraint; do
not include any = only constraints.
You must have a unique Optimal Solution Point; i.e., no unboundedness or
infeasibility problems and no alternative optimal solutions.

You
will make up the context, the particular numbers (objective function
coefficient values), and the relationships (constraint equations and values)
for your problem. I expect your model to
be reasonable, plausible, and thoughtfully derived and explainedbut not
necessarily an accurate reflection of reality (i.e., you can make up the
numbers).

Make
sure you incorporate all of the topics we have gone over. Of course, it is clearly not good enough to
just mention and briefly define any of these topics and leave it at that;
instead, you need to incorporate each
in your paper within the context of your problem/situation. Present and discuss your problem (background,
objective, constraints, etc.) in English and then supplement that in Math
(linear programming) language. (This is
an extremely important part of your paper, and something that you will have to
do a lot when you graduate and start a career.)
The overwhelming majority of your
paper will be written in English, with a bit of Math language stuff thrown
in (as opposed to lots of Math language with a bit of English thrown
in…).

Draw
each constraint equations own individual graph. Then draw one final graph that includes the
feasible region, the optimal objective function line (you need to actually graph it; do not just estimate where it
goes!), and the optimal solution point. Perhaps
the best way to draw these graphs is using a computer program such as EXCEL.

Make
sure you incorporate (as discussed
above) your objective function, constraints, slack and surplus values, optimal
solution, optimal objective function value, sensitivity analysis, range of
optimality, range of feasibility, dual prices, shadow prices, reduced costs,
and anything else that we have discussed that is relevant to your projects
problem/situation.

While
much of your work will be narrative, of course you should feel free to draw
pictures, construct tables, use (and explain!) math equations and math
language, etc., as you think appropriate and necessary. Re-stating some or all of your computer
output in some other form is certainly ok; in fact, that is a big part of this
project.

Make
sure you include a page number for all
pages.

Project Paper Assignment
(Linear Programming Models)

This
paper is dueby the last day
of class. Of course, you can turn in your paper early
if you so desire. No late papers will be accepted. If you get started SOON then you should have PLENTY of time to do a good job here.

My
advice is to write the paper in sections,
one or two at a time. In the interests
of organization and reading ease, give each section a title (and maybe include
some sub-titles too where appropriate). Double-space
the text. Print on only one side of the paper (i.e.,
single-sided, not duplex; nothing on the back of any sheet of paper). Include a cover sheet/title page. Write your name(s) on the cover sheet only,
nowhere else.

I
know that you are all wondering How long should this paper be? Well, the answer is, Long enough to get the
job done! I would expect most papers to
be about seven to ten or so pages in lengthbut that is just a very general
ballpark estimate. Of course in the real
business world, which I want you to
simulate here, there is seldom a minimum page length requirement for
projects and papers. You will simply be
expected to write enough to get the job done; no less, no more. I mean, can you imagine your boss saying
something like Have a twelve page report on my desk by Tuesday!? Heck no; that is silly to even think about! Instead, your boss will simply want your
report to be long enough to get the job done.
Well same deal here.

This
is your chance to shine and to be evaluated in a context other than
pencil-and-paper exams. Report/Project
writing is a skill that you will need throughout your business career. Remember, your bottom-line mission here is to
impress me with your ability to implement, incorporate, and professionally
communicate your knowledge and understanding of linear programming as a
business/ management tool, as opposed to a more purely mathematical and
mechanical comprehension of it.

As
with all of your other work, your paper will be evaluated from an absolute, not
a relative, perspective. In other words,
I do not grade on the curve by comparing your paper to the work of any other
paper in this or any previous semesters Quant Methods courseinstead, your
grade is based upon your adherence to all prescribed dimensions of this
assignment this semester and the excellence with which you implement this
assignment. Of course, everything you
submit needs to be your (or you and
your partners) work; i.e., you need
to produce your own submitted work-product. See me if you have any questions as you plan
and write your paper.

Work
carefully and make sure you do everything I ask the way I ask you to do it. Remember, discussing and explaining your
problem and your findings via sufficient incorporation (not just mere mention
or token definition!) of the topics we discussed is a MAJOR part of this
project and, therefore, of your grade.
This is the kind of stuff you might do in your business career. If you have any questions about this
assignment then you know what to do: see or otherwise contact me.

Finally,
I advise you to jump on this like a dog on a bone. Write this paper in sections; you are capable
of writing a few of these now. It has
been my experience that the hardest thing is getting an idea and getting
started… so do that stuff right away!
Do a good job, follow all of my directives, and have FUN
with this. Project Paper Assignment (Linear Programming Models) Page
1 of 2This
is a chance to perhaps incorporate some of your experience, interests, and
career business/management goals and ambitions within the context of an
individual project paper. I want you to make-up
your own problem and apply the linear programming tools and techniques we have
been learning (Chapters 7 and 8). So you
do not need to use real data here; instead, a reasonable and plausible
objective function and constraints will suffice. Pretend
I am your boss or your client (i.e., you are a consultant). So I expect this paper to be 100% professional (neat, typed,
error-free, descriptive, easy for me to read and follow, etc.) in nature. You are in college and, for most of you,
English is your native language; that should be reflected in the quality of
your writing (spelling, punctuation, grammar, etc.). At this point in your life and academic
career this is assumed; i.e., you get
no credit for writing at an acceptable level… instead, you incur severe
sanctions if you do not.Your
problem will have exactly two variables (an X1 and an X2) and will incorporate a maximization
(either profit or revenue) objective.
You will include at least four constraints (not including the X1? 0
and X2 ?
0 [i.e., the Non-negativity or Duh!]
constraints). At least one of these four
must be a ? constraint, and at least one other must be a ? constraint; do
not include any = only constraints.
You must have a unique Optimal Solution Point; i.e., no unboundedness or
infeasibility problems and no alternative optimal solutions. You
will make up the context, the particular numbers (objective function
coefficient values), and the relationships (constraint equations and values)
for your problem. I expect your model to
be reasonable, plausible, and thoughtfully derived and explainedbut not
necessarily an accurate reflection of reality (i.e., you can make up the
numbers).Make
sure you incorporate all of the topics we have gone over. Of course, it is clearly not good enough to
just mention and briefly define any of these topics and leave it at that;
instead, you need to incorporate each
in your paper within the context of your problem/situation. Present and discuss your problem (background,
objective, constraints, etc.) in English and then supplement that in Math
(linear programming) language. (This is
an extremely important part of your paper, and something that you will have to
do a lot when you graduate and start a career.)
The overwhelming majority of your
paper will be written in English, with a bit of Math language stuff thrown
in (as opposed to lots of Math language with a bit of English thrown
in…). Draw
each constraint equations own individual graph. Then draw one final graph that includes the
feasible region, the optimal objective function line (you need to actually graph it; do not just estimate where it
goes!), and the optimal solution point. Perhaps
the best way to draw these graphs is using a computer program such as EXCEL.Make
sure you incorporate (as discussed
above) your objective function, constraints, slack and surplus values, optimal
solution, optimal objective function value, sensitivity analysis, range of
optimality, range of feasibility, dual prices, shadow prices, reduced costs,
and anything else that we have discussed that is relevant to your projects
problem/situation. While
much of your work will be narrative, of course you should feel free to draw
pictures, construct tables, use (and explain!) math equations and math
language, etc., as you think appropriate and necessary. Re-stating some or all of your computer
output in some other form is certainly ok; in fact, that is a big part of this
project. Make
sure you include a page number for all
pages. Project Paper Assignment (Linear Programming Models) This
paper is dueby the last day
of class. Of course, you can turn in your paper early
if you so desire. No late papers will be accepted. If you get started SOON then you should have PLENTY of time to do a good job here.My
advice is to write the paper in sections,
one or two at a time. In the interests
of organization and reading ease, give each section a title (and maybe include
some sub-titles too where appropriate). Double-space
the text. Print on only one side of the paper (i.e.,
single-sided, not duplex; nothing on the back of any sheet of paper). Include a cover sheet/title page. Write your name(s) on the cover sheet only,
nowhere else. I
know that you are all wondering How long should this paper be? Well, the answer is, Long enough to get the
job done! I would expect most papers to
be about seven to ten or so pages in lengthbut that is just a very general
ballpark estimate. Of course in the real
business world, which I want you to
simulate here, there is seldom a minimum page length requirement for
projects and papers. You will simply be
expected to write enough to get the job done; no less, no more. I mean, can you imagine your boss saying
something like Have a twelve page report on my desk by Tuesday!? Heck no; that is silly to even think about! Instead, your boss will simply want your
report to be long enough to get the job done.
Well same deal here.This
is your chance to shine and to be evaluated in a context other than
pencil-and-paper exams. Report/Project
writing is a skill that you will need throughout your business career. Remember, your bottom-line mission here is to
impress me with your ability to implement, incorporate, and professionally
communicate your knowledge and understanding of linear programming as a
business/ management tool, as opposed to a more purely mathematical and
mechanical comprehension of it.As
with all of your other work, your paper will be evaluated from an absolute, not
a relative, perspective. In other words,
I do not grade on the curve by comparing your paper to the work of any other
paper in this or any previous semesters Quant Methods courseinstead, your
grade is based upon your adherence to all prescribed dimensions of this
assignment this semester and the excellence with which you implement this
assignment. Of course, everything you
submit needs to be your (or you and
your partners) work; i.e., you need
to produce your own submitted work-product. See me if you have any questions as you plan
and write your paper.Work
carefully and make sure you do everything I ask the way I ask you to do it. Remember, discussing and explaining your
problem and your findings via sufficient incorporation (not just mere mention
or token definition!) of the topics we discussed is a MAJOR part of this
project and, therefore, of your grade.
This is the kind of stuff you might do in your business career. If you have any questions about this
assignment then you know what to do: see or otherwise contact me.Finally,
I advise you to jump on this like a dog on a bone. Write this paper in sections; you are capable
of writing a few of these now. It has
been my experience that the hardest thing is getting an idea and getting
started… so do that stuff right away!
Do a good job, follow all of my directives, and have FUN
with this.

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