% (c) 1996 Gavin LaRose (glarose@NebrWesleyan.edu)
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\centerline{\bf Math 105---Calculus I\quad Project 3}
\centerline{\bf \dots }
\centerline{\sevenrm \copyright 1995 Gavin LaRose
(glarose@NebrWesleyan.edu), Nebraska Wesleyan University}
\centerline{\sevenrm permission granted to use and distribute for 
free in an academic setting.}

\bigskip
Success is yours, and the contracts are pouring in!  After two
resoundingly successful contracts with large companies (both,
curiously, related to the giant MPC, Inc.\ conglomerate), you have
received a third such contract.  This comes from the conglomerate
itself, and pertains to a recently announced expansion of their
wold-wide headquarters, located in the thriving metropolis of Lonlinc,
Skanebra.  The letter you received on the subject is attached.
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\medskip
\longindent 1 MPC Drive\par
\longindent Lonlinc, SK\par
\longindent 04685\par
\medskip
\longindent 22 November, 1995\par

\bigskip
\bigskip

\noindent Independent Mathematical Contractors, Inc.\par
\noindent Suite 2, Strawmarket Business Plaza\par
\noindent Lonlinc, SK 04685

\bigskip
\bigskip

\noindent Dear IMC:
\medskip
\noindent
On the recommendation of a number of other companies with which we are
affiliated, we have contracted with you to resolve a cost-issue which
pertains to the recently announced expansion of our world-wide
headquarters in Lonlinc.  While the building expansion is to be
connected to the existing structure, recent regulations passed by the
Lonlinc legislature require us to run a new line from the local power
hub to provide electronic connectivity and power.  Unfortunately, this
necessitates running conduit through the wetlands behind the new
construction, which makes it difficult to determine the optimum path
along which the conduit should be laid.

\medskip
\noindent
We expect that it will cost approximately one and a half times as much
to run conduit through the wetland section of the path as it does
through non-wetland ground.  Owing to concessions made by Lonlinc to
encourage business development, we only have to run conduit from the
edge of our building to a point at which the power company will make
power available, as shown on the map which follows.

\medskip
\noindent
In as much as we hope to have a full budget outline for the expansion
project finished by the end of the calendar year, we need your
estimate for the cost of laying the conduit by the 15$^{th}$ of
December at the very latest.  If you have questions as you are working
on the project, you should consult with our chief scientist, Dr. Gavin
LaRose, who has been instructed to assist you insofar as may be
possible.  Please also note that it is written into your contract that
you contact him by the ends of the weeks of the 27$^{th}$ of November
and 4$^{th}$ of December to update us on your progress, and that
failure to do so may result in a substantial payment penalty.  As is
usual, we have enclosed a copy of our technical report specifications,
which should govern the presentation of your results.
\bigskip
 
\longindent Yours sincerely,
\bigskip
\bigskip
\bigskip
\longindent Warren Fubbet, President\par
\longindent MPC, Inc.
\bigskip
\noindent Encl: Technical report requirements, map

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\centerline{\bf Technical Report Requirements}
\bigskip
\noindent
\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 report.  The
board members can all boast of a good 
university education, but owing to their preoccupation with business
matters should be assumed only to remember precalculus and some basic
ideas from calculus.

\bigskip
\noindent Reports should further:
\bigskip
 
\item{$\bullet$} Be written in the first person plural (e.g., ``We
found the requisite data from the map\dots'').
\medskip
\item{$\bullet$} Include mathematical formulas in the the text of the
body of the report as appropriate to describe the methods and results
obtained. 
\medskip
\item{$\bullet$} Clearly explain how the mathematical formulas that are
included bear on the problem being solved.
\medskip
\item{$\bullet$} Consist of
\smallskip
\itemitem{$\bullet$} An {\sl Introduction\/}, describing the problem
to be solved, and an indication of the mathematical method used to
solve it.
\smallskip
\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.
\smallskip
\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. 
\medskip
\item{$\bullet$} Be 2$1\over 2$--5 pages in length.
 

\bye
