<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</a>
[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</a>
<a href=“http://arxiv.org/pdf/0909.0303v1.pdf[/url]”>http://arxiv.org/pdf/0909.0303v1.pdf</a></p>