To set up an AgentExecutor in LangChain, first import the necessary modules including AgentExecutor, initialize_agent, Tool, and a language model like OpenAI. Then create an instance of the LLM. Define your tools as Tool objects that wrap functions the agent can use. Initialize the agent by passing the tools and LLM, specifying the agent type. Next, create the AgentExecutor by providing the agent and tools. Finally, run the executor with an input query string. The executor processes the input by letting the agent decide actions and using tools to perform them, then returns the result. Variables like llm, tools, agent, executor, and result change state step-by-step as the setup and run proceed. Key points include the need for tools so the agent can act, and that the executor runs the input at a specific step. This setup allows flexible, tool-enabled agent execution for answering questions or performing tasks.