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a) Throw more resources at it. I am not sure how it is done, but cloud can scale on demand from what I know.
b) If not using already, use some static page serving plugin for Wordpress, like WP Super Cache or other. This should reduce some load.
Install a caching plugin for Wordpress.
Copy the output of Wordpress for that blog post to a static .html file and use mod_rewrite to point requests for the post to that file.
Turn off plugins you don't need.
Install a reverse proxy cache (such as Varnish) in front of Wordpress.
Out of the box, the configs which ship with Apache on e.g. Ubuntu are virtually engineered to fail if your blog ever gets a traffic spike.