Posting this question for others experiencing the same issue. My answer below.
I created an AWS Lambda method that receives a series of query parameters that are used to produce a report. The report data is saved in an Excel file using the excellent EPPlus library. When I run the code in the development environment it executes without a problem. After I deploy the code to AWS and call it via the URL I get the following exception:
The type initializer for 'Gdip' threw an exception
Why would this happen after deployment, yet run properly in the development environment?