Configure HTTP access to Analysis Services using PowerShell

Recently I had to setup an Analysis Services cube and expose it to external users. This is usually done by using Internet Information Server (IIS) and creating a new WebSite which hosts msmdpump.dll. This DLL more or less wraps XMLA commands inside HTTP thus allowing external users to access the cube via HTTP. Besides Windows Authentication this setup also allows Basic Authentication and so external users can simply connect by specifying Username and Password in e.g. Excel when connecting to the cube: