Extend SharePoint 2013 search control

DEVELOPER MUST MUST BE ABLE TO DEMONSTRATE SHAREPOINT 2013 DEV EXPERIENCE - SharePoint 2013 renders a maximum of 50 search results per page. It is not possible to change this hardwired limit by configuring the web part. If you set it to greater than 50, it throws an error. I am told that the search control needs to be overridden or extended in Visual Studio. I want the limit to be removed entirely. If this is not possible then set it to the maximum possible value. However, paging still needs to work, so if I set the page size to 1000 then it will render 1000 results per page.. etc.