I received a charge for Azure compute for a number of days when the status of the service was "Set Up Failed", why would I be charged when the service failed to start.

Question

I am using Azure Machine Learning for personal purposes. I activate the compute resources when I am using the service and it automatically shuts down after an hour. On the days when I use the service I generate a couple of dollars of compute charges. I have been charged $11 a day for the past week. When I investigated, the compute was showing an error "Set Up Failed". So it seems that I was charge for the compute resource for the entire time it was in a failed state. This doesn't seem right to me. I can't seem to find a way to reach support to challenge the cost.