IBM Research | Ponder This | March 2003 challenges

# Ponder This

## March 2003

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Ponder This Challenge:

This month's puzzle was supplied by Vladimir Sedach.

We have 100 meters of fencing, which we use to enclose a pasture. Our fence must begin and end at the oak tree. Ground south of the oak tree, or less than 20 meters north of the oak tree, is worth \$100 per square meter; but ground more than 20 meters north of the oak tree is worth \$200 per square meter.

What shape maximizes the total value of the enclosed pasture, and what is this value?

Clarifications:
The "oak tree" is a single point. "20 meters north" refers to an east-west line passing 20 meters north of the tree. "Begin and end at the oak tree" means that both ends of the fence touch this point. All of this takes place on a flat Earth.

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Challenge: 03/03/2003 @ 10:00 AM EST
Solution: 03/03/2003 @ 10:00 AM EST
List Updated: 03/03/2003 @ 10:00 AM EST

Stephane Peysson (03.04.2003@12:46:39PM EST)

Michael Brand (03.04.2003@01:41:00PM EST)
Michael Swart (03.04.2003@04:27:17PM EST)
Jayavel Sounderpandian (03.06.2003@06:01:01PM EST)
Hagen von Eitzen (03.08.2003@11:24:34AM EST)
Steve Horvath (03.10.2003@09:05:29AM EST)
John G. Fletcher (03.10.2003@03:55:13PM EST)
Chris Shannon (03.10.2003@05:26:00PM EST)
Alex Proudfoot (03.13.2003@06:53:42PM EST)
Rainer Rosenthal (03.17.2003@05:42:29PM EST)
Morgan Sherman (03.19.2003@08:07:24PM EST)
Sebastian Casalaina-Martin (03.19.2003@08:07:24PM EST)
Maxim G. Smith (03.20.2003@02:59:47PM EST)
Rocke Verser (03.21.2003@05:59:27AM EST)
Andreas Knappe (03.21.2003@07:39:39AM EST)
Bob Stewart (03.21.2003@11:50:09AM EST)
Florbela Duarte (03.21.2003@06:51:06PM EST)
Gyozo Nagy (03.23.2003@04:19:25PM EST)
Donald T. Dodson (03.25.2003@09:44:10AM EST)
Nachiket Bapat (03.28.2003@06:06:30PM EST)
Amos Guler (03.30.2003@02:29:21AM EST)
Troels Nørgaard (03.31.2003@06:21:42AM EST)
Nis Jorgensen (03.31.2003@11:42:39AM EST)

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