You can create a production-ready application using Remix and Tailwind CSS together, which makes getting started easily. To set up Remix, run `npx create-remix@latest` to start the CLI and follow the prompts to select your project type and deployment target. After setting up Remix, install the required packages for Tailwind, initialize it with `npx tailwindcss init`, and configure the file paths in the `tailwind.config.js` file. Replace the scripts in the `package.json` file with new ones that use Tailwind to generate CSS files and update build and dev scripts. Create an initial location for the CSS and add the @tailwind directives, then run `npm run dev` to generate the output CSS file. Finally, import the generated CSS into your app's root component and start using Tailwind classes in your components to style your application.