B and D are the correct answers, as Force.com IDE and Force.com Migration Tool are the deployment tools that will support the request of creating a new custom object to track Shipping Containers and making it available globally by all Salesforce instances and further maintained and modified regionally by local administrators. Force.com IDE and Force.com Migration Tool are both tools that use the Metadata API to retrieve and deploy metadata components, such as custom objects, from one org to another. They also allow for selective deployment, meaning that only the components that are needed can be deployed, without affecting the rest of the org. A is incorrect, as Tooling API is not a deployment tool, but an API that provides access to metadata and code, as well as customizing and automating the development process. C is incorrect, as Change sets are not a deployment tool that will support the request, as they are limited to deploying components between connected orgs, and do not allow for selective deployment or regional modifications.
You can learn more about these tools in the Deploy Changes with the Force.com Migration Tool and Deploy Changes with the Force.com IDE units on Trailhead.