I currently have a production deployment in West Europe and would like to create another instance that is running in the US.
How is this possible?
This is not possible at instance level. But you can have geographically distributed applications at hosted service level, using the Traffic Manager. This means you'll need a hosted service for your West Europe deployment and one for your US deployment.
This blog post explains how to make it work: http://www.hanselman.com/blog/CloudPowerHowToScaleAzureWebsitesGloballyWithTrafficManager.aspx
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