Question 361752
<font face="Garamond" size="+2">


Let *[tex \Large x] represent the number of videos rented per month.  Then the member cost function is *[tex \Large C_m(x)\ =\ 0.85x\ +\ 30.00].  The non-member cost function is *[tex \Large C_n(x)\ =\ 2.25x]


We want to find the break-even point, that is, the number of videos rented that makes the two cost functions equal.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2.25x\ =\ 0.85x\ +\ 30.00]


Solve for *[tex \Large x].  You will get an answer that is not a whole number.  The number of videos you need to rent to make membership worthwhile is the next higher integer.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>