Apartment price splitting dilemma

<p>Got any math majors?</p>

<p><a href=“http://www.math.hmc.edu/~su/papers.dir/rent.pdf[/url]”>http://www.math.hmc.edu/~su/papers.dir/rent.pdf&lt;/a&gt;
[Rental</a> Harmony – Math Fun Facts](<a href=“http://www.math.hmc.edu/funfacts/ffiles/10003.8.shtml]Rental”>http://www.math.hmc.edu/funfacts/ffiles/10003.8.shtml)</p>

<p>If it were just two people, you could do it easily by having one person set the prices for each room / bed and the other choosing first.</p>

<p>Perhaps you can derive a method of pricing each bed from the method described here:</p>

<p><a href=“http://www.math.hmc.edu/~su/papers.dir/chore4.pdf[/url]”>http://www.math.hmc.edu/~su/papers.dir/chore4.pdf&lt;/a&gt;
<a href=“http://arxiv.org/pdf/0909.0303v1.pdf[/url]”>http://arxiv.org/pdf/0909.0303v1.pdf&lt;/a&gt;&lt;/p&gt;