How to force BundleCollection to flush cached script bundles in MVC4

… or how I learned to stop worrying and just write code against completely undocumented APIs from Microsoft. Is there any actual documentation of the official System.Web.Optimization release? ‘cuz I sure can’t find any, there’s no XML docs, and all the blog posts refer to the RC API which is substantially different. Anyhoo..

Adding the new ASP.NET Web Optimization framework to MVC4 projects after manually upgrading them

After manually upgrading an ASP.NET MVC project to MVC4 using these instructions, how do you then set up the new CSS and JavaScript asset bundling and minimization features of the ASP.NET Web Optimization Framework in MVC4? The default templates have this all set up, but how do you do it by hand?