A company has an Amazon API Gateway REST API that integrates with an AWS Lambda...

Amazon API Gateway stages are designed to represent different deployment environments such as development, testing, and production. AWS documentation recommends using separate stages combined with stage variables to reference different backend resources without duplicating API definitions.

In this scenario, the development stage already uses a stage variable to reference the Lambda dev alias. To expose the production alias safely, the developer should deploy the API to a new stage named production and configure a stage variable that points to the Lambda prod alias. This approach allows the same API configuration and methods to be reused while cleanly separating environments.

Stage variables are resolved at runtime and are commonly used to reference Lambda aliases in integration ARNs. This enables controlled promotion of code from development to production without modifying methods or integrations.

Creating new methods (Options A and B) is unnecessary and increases operational complexity. Directly hardcoding the Lambda alias in the integration (Option D) removes flexibility and deviates from AWS best practices for environment separation.

Therefore, deploying a new API stage and using stage variables to reference the prod Lambda alias is the correct and most efficient solution.