Math 105--Calculus I: Project 3, Spring 1996

in and out of the gutter...

by Gavin LaRose (, Nebraska Wesleyan University, April 1996

©1996 Gavin LaRose (
permission granted to use and distribute free in an academic setting

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 pièce de résistance, 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.

plain TeX file for project
PostScript version of project

The letter...

Welbilt Design and Construction, Inc.

6533 Haybaler Highway
Lonlinc, SK

7 April, 1996

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

Dear IMC:

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.

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).

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.

For your reference, we have included a copy of our requirements for technical documents. We look forward to seeing your finished report.

Yours sincerely,
Frankyl O. Y. Drite
President, Welbilt Inc.

Encl: Technical report requirements

The technical requirements...

Welbilt Design and Construction, Inc.

Technical Report Requirements

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.

Reports should further:

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last modified on 4 Jul 1996

Gavin's Calc I Project 3, Spring 1996
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