% (c) 1996 Gavin LaRose (glarose@NebrWesleyan.edu)
% permission is granted to use and distribute for free
% in an academic setting
% 
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\centerline{\bf Math 106---Calculus II\qquad Project 1}
\centerline{\bf \dots The Cost of Expansion}
\centerline{\sevenrm \copyright 1996 Gavin LaRose
(glarose@NebrWesleyan.edu), Nebraska Wesleyan University}
\centerline{\sevenrm permission granted to use and distribute for 
free in an academic setting.}

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You are independent technical contractors and have recently received a
big contract with the MPC, Inc.~conglomerate to analyze the costs of
the much publicized expansion of their world-wide headquarters outside
of the thriving metropolis of Lonlinc, Skanebra.  The letter you
received on the subject is attached.
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\longindent{\headerfont M.P.C., Inc.}
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\longindent 1 MPC Drive\par
\longindent Lonlinc, SK\par
\longindent 04685\par
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\longindent 5 Sept., 1995\par

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\noindent Sophisticated Technical Contractors, Inc.\par
\noindent Suite 1, Strawmarket Business Plaza\par
\noindent Lonlinc, SK 04685\par
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\bigskip

\noindent Dear STC:
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\noindent I am pleased to inform you on behalf of the board of
directors of M.P.C., Inc.~that your credentials and the competitive
nature of your bid on the cost analysis for our planned expansion has
led to your selection as the contractors for the analysis.  We have
faxed a copy of the contract to you separately.
\medskip

\noindent As you know, the main consideration for which we are
employing your services is the determination of the cost of the two
addition proposals that we are currently debating.  Due to tax and
ergonomic issues it is not yet clear if the cheapest of the two will
be the most cost-effective in the long run, and we therefore need an
accurate estimate of the cost of each.
\medskip

\noindent You can see from the enclosed map that the difference
between the two proposed additions lies in their location.  The first
(Proposal 1) lies to the south and east of the existing
M.P.C. building, on fairly flat prairie land.  The second (Proposal 2)
will necessitate the development of a portion of the (so called
``endangered'') Skanebra wetlands on our property (which development,
due to the 
tax laws now being considered in Congress, may be eligible for a
tax-break). 
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\noindent We are currently soliciting bids on the cost of developing
the prairie and wetland for the two proposals, and while we have not
yet obtained a firm estimate on the costs it is clear that the prairie
land will cost the same (per square foot) to develop for either
proposal, while the cost (per square foot) of developing the wetlands
will be significantly more.
\medskip

\noindent We expect your report, as indicated in your contract, by the
18$^{\rm th}$ of this month.  We include a copy of our standard
requirements for a technical report of this nature.  In addition, as
it is in both of our interests to assure the successful and timely
completion of your project, our technical representative overseeing
the expansion, Dr.~Gavin LaRose, is available to answer any and all
additional questions that you may have regarding the technicalities or
requirements related to your effort.  You are urged to contact him
as a group with any questions you may have---and, as is also indicated
in your contract, you should see him (also as a group) to give a
progress report on the project by the 13$^{\rm th}$ of the month.
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\noindent We look forward to seeing your finished project.
\bigskip
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\longindent Yours sincerely,
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\longindent Warren Fubbet, President\par
\longindent M.P.C., Inc.
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\noindent Encl: map, technical report requirements

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\hbox{\hskip -.25in \psfig{figure=proj1_map.eps}}
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\longindent{\headerfont M.P.C., Inc.}
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\centerline{\bf M.P.C., Inc.~Technical Report Requirements}
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\noindent All reports submitted to MPC, Inc.~should be written so that
all members of the board of directors can understand the issues raised
therein and therefore be able to appropriately use the material
contained therein.  The board members can all boast of a good
university education including in excess of a year of mathematics---of
which they probably remember only about one semester of Calculus.
\bigskip
\noindent Reports should further:
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\item{$\bullet$} Be written in the first person plural (e.g., ``We
found the requisite data from the map\dots'').
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\item{$\bullet$} Include mathematical formulas in the the text of the
body of the report as appropriate to describe the methods and results
obtained. 
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\item{$\bullet$} Consist of
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\itemitem{$\bullet$} An {\sl Introduction\/}, describing the problem
to be solved, and an indication of the mathematical method used to
solve it.
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\itemitem{$\bullet$} A {\sl Body\/}, describing the mathematical
problem that was solved to answer the question(s) posed in the
introduction, and the solution to it.
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\itemitem{$\bullet$} A {\sl Conclusion\/}, summarizing the results
obtained from the solution described in the body and clearly stating
their relevance to the original problem as described in the
introduction. 
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\item{$\bullet$} Be 2$1\over 2$--5 pages in length.

\bye
