Although webserver choices are a matter of much contention, many people have found success in switching to a non-Apache setup on low-resource servers, like your

Although webserver choices are a matter of much contention, many people have found success in switching to a non-Apache setup on low-resource servers, like your slice. It's my belief that you can get Apache to perform just as well as those, but it takes a lot more tweaking, and most people really aren't that familiar with Apache config options. I personally have been quite happy with Cherokee.