The Tax Man Problem

https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Tax-G13-109-1.jpg

Source

G4G13

Title

The Tax Man Problem

Creator

Contributor

James Lee

Subject

Puzzle

Description

Bill Gosper shared this problem with me. He calls it the Tax Man Problem. In the province of Peculia Pecunia, you are paid on an annular basis. That is, you get a (unit radius) gold disk from whose center is punched a smaller disk which you donate to charity. The tax man chops off the largest segment he can, and you get the rest. What radius should you donate to charity to maximize your take home pay? You can use calculus to solve this problem, or you can do it the easy way. Bill joins me in a video on mathwithjames.com where we show you how.

Identifier

G13-109

Collection

Tags

Citation

“The Tax Man Problem,” G4G Gift Exchange Archive, accessed June 19, 2024, https://g4gexchangearchive.omeka.net/items/show/1362.

Comments

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