% (c) 1996 Gavin LaRose (glarose@NebrWesleyan.edu)
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Welbilt Design and Construction, Inc.}\smallskip\hrule\vskip 4pt \hrule}
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\centerline{\bf Math 105---Calculus I\quad Project 3}
\centerline{\bf in and out of the gutter\dots }
\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.}
\bigskip
It is said that success breeds further success, and the recent
experience of the IMC, Inc. consulting firm appears to bear this out.
After several exceedingly lucrative contracts, further contracts are
pouring in. As you eye your departure from IMC for greener pastures
(all mathematical, of course), you have one final contract to
address---the pi\`ece de r\'esistance, as it were. (In?)Appropriately
enough, it concerns gutters, and has been submitted by Welbilt Design
and Construction, Inc. (rumored to be surreptitiously owned by the
MPC, Inc. conglomerate), a construction and architecture company based
in the thriving metropolis of Lonlinc, Skanebra. The letter you
received on the subject is attached.
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\longindent 6533 Haybaler Highway\par
\longindent Lonlinc, SK\par
\longindent 04685\par
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\longindent 7 April, 1996\par
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\noindent Independent Mathematical Contractors, Inc.\par
\noindent Suite 2, Strawmarket Business Plaza\par
\noindent Lonlinc, SK 04685
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\noindent Dear IMC:
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Welbilt Design and Construction has recently begun the construction of
a series of carefully designed, eminently safe new office buildings in
a development immediately outside of the southern boundary of Lonlinc.
At the last minute, however, the subcontractor we had working on the
design of the gutters for the roofs of building has pulled out, so we
are contacting your firm to determine the optimum gutter design for
the development.
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An optimum gutter will, of course, carry a maximum amount of water,
and our design constraints require that it be manufactured from a 12
inch wide piece of material (which we can order in the lengths
required to line different roof sections).
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We therefore have contacted you to find the gutter design(s) which
will carry the most water from the roof. Because we have already
begun the construction of the office buildings, we unfortunately
require a fairly speedy response from you, and therefore expect your
report to be submitted by the 29th of April. If you have questions as
you work to resolve the problem, we hope you will avail yourselves of
the assistance of the estimable Dr.\ Gavin LaRose, whom we have hired
as a technical consultant for the project of erecting the office
buildings. You must in any event notify him of your progress on two
occasions, on or before the 15th and 22nd of April.
\bigskip
For your reference, we have included a copy of our requirements for
technical documents. We look forward to seeing your finished report.
\bigskip
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\longindent Yours sincerely,
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\longindent Frankyl O.\ Y.\ Drite\par
\longindent President, Welbilt Inc.
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\noindent Encl: Technical report requirements
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\centerline{\bf Technical Report Requirements}
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\noindent
\noindent
All reports submitted to Welbilt, Inc. should be written so that the
forewomen and foremen of the construction unit implementing the report
can understand and apply the information contained therein. Owing to
Welbilt's preeminent position in the construction field all of our
forepeople have degrees in engineering, and thus have had college
level mathematics, including calculus---unfortunately, however, their
long experience in the field precludes a ready knowledge of the same.
Therefore, the reports should assume a strong precalculus and basic
calculus (about half a semester of calculus I) background, but should
not expect a knowledge of much more than that.
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\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 figure\dots'').
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\item{$\bullet$} Include mathematical formulas and figures in the the
text of the body of the report as appropriate to describe the methods
and results obtained. (While the report must be typewritten, it is
fine to neatly hand-write formulas and figures if that significantly
simplifies its generation.)
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\item{$\bullet$} Clearly explain how the mathematical formulas that are
included bear on the problem being solved.
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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